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Finding the Fourth Proportional to 287,264.26, 430,711.30 and 137,500.93

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Solution

The fourth proportional to 287,264.26, 430,711.30 and 137,500.93 is: 206,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,264.26 : 430,711.30 = 137,500.93 : x
  2. Step 2: Convert to fraction form
    287,264.26/430,711.30 = 137,500.93/x
  3. Step 3: Cross multiply
    287,264.26x = 430,711.30 × 137,500.93
  4. Step 4: Simplify right side
    287,264.26x = 59,223,204,311.51
  5. Step 5: Solve for x
    x = 59,223,204,311.51/287,264.26
  6. Step 6: Final answer
    x = 206,162.80

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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.