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Finding the Fourth Proportional to 282,136.32, 423,192.96 and 115,920

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Solution

The fourth proportional to 282,136.32, 423,192.96 and 115,920 is: 173,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,136.32 : 423,192.96 = 115,920 : x
  2. Step 2: Convert to fraction form
    282,136.32/423,192.96 = 115,920/x
  3. Step 3: Cross multiply
    282,136.32x = 423,192.96 × 115,920
  4. Step 4: Simplify right side
    282,136.32x = 49,056,527,923.20
  5. Step 5: Solve for x
    x = 49,056,527,923.20/282,136.32
  6. Step 6: Final answer
    x = 173,875.27

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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.