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Finding the Fourth Proportional to 135,123.48, 186,464.52 and 74,691

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Solution

The fourth proportional to 135,123.48, 186,464.52 and 74,691 is: 103,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,123.48 : 186,464.52 = 74,691 : x
  2. Step 2: Convert to fraction form
    135,123.48/186,464.52 = 74,691/x
  3. Step 3: Cross multiply
    135,123.48x = 186,464.52 × 74,691
  4. Step 4: Simplify right side
    135,123.48x = 13,927,221,463.32
  5. Step 5: Solve for x
    x = 13,927,221,463.32/135,123.48
  6. Step 6: Final answer
    x = 103,070.33

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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.