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Finding the Fourth Proportional to 137,140.11, 189,270.87 and 76,714.11

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Solution

The fourth proportional to 137,140.11, 189,270.87 and 76,714.11 is: 105,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,140.11 : 189,270.87 = 76,714.11 : x
  2. Step 2: Convert to fraction form
    137,140.11/189,270.87 = 76,714.11/x
  3. Step 3: Cross multiply
    137,140.11x = 189,270.87 × 76,714.11
  4. Step 4: Simplify right side
    137,140.11x = 14,519,746,340.98
  5. Step 5: Solve for x
    x = 14,519,746,340.98/137,140.11
  6. Step 6: Final answer
    x = 105,875.27

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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.