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Finding the Fourth Proportional to 156,230.32, 234,356.49 and 77,323.36

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Solution

The fourth proportional to 156,230.32, 234,356.49 and 77,323.36 is: 115,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,230.32 : 234,356.49 = 77,323.36 : x
  2. Step 2: Convert to fraction form
    156,230.32/234,356.49 = 77,323.36/x
  3. Step 3: Cross multiply
    156,230.32x = 234,356.49 × 77,323.36
  4. Step 4: Simplify right side
    156,230.32x = 18,121,231,098.13
  5. Step 5: Solve for x
    x = 18,121,231,098.13/156,230.32
  6. Step 6: Final answer
    x = 115,990.49

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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.