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Finding the Fourth Proportional to 286,302.16, 429,129.24 and 145,763.92

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Solution

The fourth proportional to 286,302.16, 429,129.24 and 145,763.92 is: 218,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,302.16 : 429,129.24 = 145,763.92 : x
  2. Step 2: Convert to fraction form
    286,302.16/429,129.24 = 145,763.92/x
  3. Step 3: Cross multiply
    286,302.16x = 429,129.24 × 145,763.92
  4. Step 4: Simplify right side
    286,302.16x = 62,551,560,209.02
  5. Step 5: Solve for x
    x = 62,551,560,209.02/286,302.16
  6. Step 6: Final answer
    x = 218,480.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.