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Finding the Fourth Proportional to 133,880.32, 184,699.52 and 77,251.52

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Solution

The fourth proportional to 133,880.32, 184,699.52 and 77,251.52 is: 106,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,880.32 : 184,699.52 = 77,251.52 : x
  2. Step 2: Convert to fraction form
    133,880.32/184,699.52 = 77,251.52/x
  3. Step 3: Cross multiply
    133,880.32x = 184,699.52 × 77,251.52
  4. Step 4: Simplify right side
    133,880.32x = 14,268,318,663.27
  5. Step 5: Solve for x
    x = 14,268,318,663.27/133,880.32
  6. Step 6: Final answer
    x = 106,575.18

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Why These Related Problems?

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