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Finding the Fourth Proportional to 120,123.76, 165,777.28 and 66,413.77

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Solution

The fourth proportional to 120,123.76, 165,777.28 and 66,413.77 is: 91,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,123.76 : 165,777.28 = 66,413.77 : x
  2. Step 2: Convert to fraction form
    120,123.76/165,777.28 = 66,413.77/x
  3. Step 3: Cross multiply
    120,123.76x = 165,777.28 × 66,413.77
  4. Step 4: Simplify right side
    120,123.76x = 11,009,894,870.74
  5. Step 5: Solve for x
    x = 11,009,894,870.74/120,123.76
  6. Step 6: Final answer
    x = 91,654.60

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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.