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Finding the Fourth Proportional to 282,792.15, 424,166.18 and 164,387.97

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Solution

The fourth proportional to 282,792.15, 424,166.18 and 164,387.97 is: 246,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,792.15 : 424,166.18 = 164,387.97 : x
  2. Step 2: Convert to fraction form
    282,792.15/424,166.18 = 164,387.97/x
  3. Step 3: Cross multiply
    282,792.15x = 424,166.18 × 164,387.97
  4. Step 4: Simplify right side
    282,792.15x = 69,727,816,450.91
  5. Step 5: Solve for x
    x = 69,727,816,450.91/282,792.15
  6. Step 6: Final answer
    x = 246,569.14

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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.