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Finding the Fourth Proportional to 137,129.54, 189,234.18 and 75,875.84

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Solution

The fourth proportional to 137,129.54, 189,234.18 and 75,875.84 is: 104,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,129.54 : 189,234.18 = 75,875.84 : x
  2. Step 2: Convert to fraction form
    137,129.54/189,234.18 = 75,875.84/x
  3. Step 3: Cross multiply
    137,129.54x = 189,234.18 × 75,875.84
  4. Step 4: Simplify right side
    137,129.54x = 14,358,301,418.04
  5. Step 5: Solve for x
    x = 14,358,301,418.04/137,129.54
  6. Step 6: Final answer
    x = 104,706.12

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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.