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Finding the Fourth Proportional to 137,289.25, 189,403.14 and 86,285.53

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Solution

The fourth proportional to 137,289.25, 189,403.14 and 86,285.53 is: 119,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,289.25 : 189,403.14 = 86,285.53 : x
  2. Step 2: Convert to fraction form
    137,289.25/189,403.14 = 86,285.53/x
  3. Step 3: Cross multiply
    137,289.25x = 189,403.14 × 86,285.53
  4. Step 4: Simplify right side
    137,289.25x = 16,342,750,318.56
  5. Step 5: Solve for x
    x = 16,342,750,318.56/137,289.25
  6. Step 6: Final answer
    x = 119,038.82

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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.