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Finding the Fourth Proportional to 133,935.92, 184,785.68 and 76,534

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Solution

The fourth proportional to 133,935.92, 184,785.68 and 76,534 is: 105,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,935.92 : 184,785.68 = 76,534 : x
  2. Step 2: Convert to fraction form
    133,935.92/184,785.68 = 76,534/x
  3. Step 3: Cross multiply
    133,935.92x = 184,785.68 × 76,534
  4. Step 4: Simplify right side
    133,935.92x = 14,142,387,233.12
  5. Step 5: Solve for x
    x = 14,142,387,233.12/133,935.92
  6. Step 6: Final answer
    x = 105,590.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.