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Finding the Fourth Proportional to 137,137.52, 189,267.28 and 76,711.52

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Solution

The fourth proportional to 137,137.52, 189,267.28 and 76,711.52 is: 105,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,137.52 : 189,267.28 = 76,711.52 : x
  2. Step 2: Convert to fraction form
    137,137.52/189,267.28 = 76,711.52/x
  3. Step 3: Cross multiply
    137,137.52x = 189,267.28 × 76,711.52
  4. Step 4: Simplify right side
    137,137.52x = 14,518,979,596.95
  5. Step 5: Solve for x
    x = 14,518,979,596.95/137,137.52
  6. Step 6: Final answer
    x = 105,871.68

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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.