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Finding the Fourth Proportional to 107,464.14, 148,314.15 and 65,023.02

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Solution

The fourth proportional to 107,464.14, 148,314.15 and 65,023.02 is: 89,740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,464.14 : 148,314.15 = 65,023.02 : x
  2. Step 2: Convert to fraction form
    107,464.14/148,314.15 = 65,023.02/x
  3. Step 3: Cross multiply
    107,464.14x = 148,314.15 × 65,023.02
  4. Step 4: Simplify right side
    107,464.14x = 9,643,833,941.73
  5. Step 5: Solve for x
    x = 9,643,833,941.73/107,464.14
  6. Step 6: Final answer
    x = 89,740.02

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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.