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Finding the Fourth Proportional to 99,929.96, 149,864.86 and 82,356.20

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Solution

The fourth proportional to 99,929.96, 149,864.86 and 82,356.20 is: 123,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,929.96 : 149,864.86 = 82,356.20 : x
  2. Step 2: Convert to fraction form
    99,929.96/149,864.86 = 82,356.20/x
  3. Step 3: Cross multiply
    99,929.96x = 149,864.86 × 82,356.20
  4. Step 4: Simplify right side
    99,929.96x = 12,342,300,383.13
  5. Step 5: Solve for x
    x = 12,342,300,383.13/99,929.96
  6. Step 6: Final answer
    x = 123,509.51

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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.