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Finding the Fourth Proportional to 287,536.30, 431,434.05 and 137,718.70

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Solution

The fourth proportional to 287,536.30, 431,434.05 and 137,718.70 is: 206,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,536.30 : 431,434.05 = 137,718.70 : x
  2. Step 2: Convert to fraction form
    287,536.30/431,434.05 = 137,718.70/x
  3. Step 3: Cross multiply
    287,536.30x = 431,434.05 × 137,718.70
  4. Step 4: Simplify right side
    287,536.30x = 59,416,536,501.74
  5. Step 5: Solve for x
    x = 59,416,536,501.74/287,536.30
  6. Step 6: Final answer
    x = 206,640.12

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