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Finding the Fourth Proportional to 287,006.78, 430,517.25 and 137,262.89

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Solution

The fourth proportional to 287,006.78, 430,517.25 and 137,262.89 is: 205,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,006.78 : 430,517.25 = 137,262.89 : x
  2. Step 2: Convert to fraction form
    287,006.78/430,517.25 = 137,262.89/x
  3. Step 3: Cross multiply
    287,006.78x = 430,517.25 × 137,262.89
  4. Step 4: Simplify right side
    287,006.78x = 59,094,039,777.27
  5. Step 5: Solve for x
    x = 59,094,039,777.27/287,006.78
  6. Step 6: Final answer
    x = 205,897.72

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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.