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Finding the Fourth Proportional to 137,129.60, 189,235.20 and 77,513.60

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Solution

The fourth proportional to 137,129.60, 189,235.20 and 77,513.60 is: 106,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,129.60 : 189,235.20 = 77,513.60 : x
  2. Step 2: Convert to fraction form
    137,129.60/189,235.20 = 77,513.60/x
  3. Step 3: Cross multiply
    137,129.60x = 189,235.20 × 77,513.60
  4. Step 4: Simplify right side
    137,129.60x = 14,668,301,598.72
  5. Step 5: Solve for x
    x = 14,668,301,598.72/137,129.60
  6. Step 6: Final answer
    x = 106,966.71

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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.