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Finding the Fourth Proportional to 255,071.35, 352,028.78 and 146,214.64

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Solution

The fourth proportional to 255,071.35, 352,028.78 and 146,214.64 is: 201,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,071.35 : 352,028.78 = 146,214.64 : x
  2. Step 2: Convert to fraction form
    255,071.35/352,028.78 = 146,214.64/x
  3. Step 3: Cross multiply
    255,071.35x = 352,028.78 × 146,214.64
  4. Step 4: Simplify right side
    255,071.35x = 51,471,761,337.34
  5. Step 5: Solve for x
    x = 51,471,761,337.34/255,071.35
  6. Step 6: Final answer
    x = 201,793.58

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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.