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Finding the Fourth Proportional to 287,864.10, 431,792.10 and 130,092.30

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Solution

The fourth proportional to 287,864.10, 431,792.10 and 130,092.30 is: 195,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,864.10 : 431,792.10 = 130,092.30 : x
  2. Step 2: Convert to fraction form
    287,864.10/431,792.10 = 130,092.30/x
  3. Step 3: Cross multiply
    287,864.10x = 431,792.10 × 130,092.30
  4. Step 4: Simplify right side
    287,864.10x = 56,172,827,410.83
  5. Step 5: Solve for x
    x = 56,172,827,410.83/287,864.10
  6. Step 6: Final answer
    x = 195,136.62

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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.