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Finding the Fourth Proportional to 255,102.32, 352,055.73 and 146,224.76

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Solution

The fourth proportional to 255,102.32, 352,055.73 and 146,224.76 is: 201,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,102.32 : 352,055.73 = 146,224.76 : x
  2. Step 2: Convert to fraction form
    255,102.32/352,055.73 = 146,224.76/x
  3. Step 3: Cross multiply
    255,102.32x = 352,055.73 × 146,224.76
  4. Step 4: Simplify right side
    255,102.32x = 51,479,266,087.63
  5. Step 5: Solve for x
    x = 51,479,266,087.63/255,102.32
  6. Step 6: Final answer
    x = 201,798.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.