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Finding the Fourth Proportional to 255,063.47, 352,017.92 and 146,206.76

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Solution

The fourth proportional to 255,063.47, 352,017.92 and 146,206.76 is: 201,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,063.47 : 352,017.92 = 146,206.76 : x
  2. Step 2: Convert to fraction form
    255,063.47/352,017.92 = 146,206.76/x
  3. Step 3: Cross multiply
    255,063.47x = 352,017.92 × 146,206.76
  4. Step 4: Simplify right side
    255,063.47x = 51,467,398,814.11
  5. Step 5: Solve for x
    x = 51,467,398,814.11/255,063.47
  6. Step 6: Final answer
    x = 201,782.71

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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.