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Finding the Fourth Proportional to 107,442.52, 148,116.70 and 75,512.32

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Solution

The fourth proportional to 107,442.52, 148,116.70 and 75,512.32 is: 104,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,442.52 : 148,116.70 = 75,512.32 : x
  2. Step 2: Convert to fraction form
    107,442.52/148,116.70 = 75,512.32/x
  3. Step 3: Cross multiply
    107,442.52x = 148,116.70 × 75,512.32
  4. Step 4: Simplify right side
    107,442.52x = 11,184,635,647.74
  5. Step 5: Solve for x
    x = 11,184,635,647.74/107,442.52
  6. Step 6: Final answer
    x = 104,098.78

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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.