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Finding the Fourth Proportional to 137,177.58, 189,312.42 and 76,744.62

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Solution

The fourth proportional to 137,177.58, 189,312.42 and 76,744.62 is: 105,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,177.58 : 189,312.42 = 76,744.62 : x
  2. Step 2: Convert to fraction form
    137,177.58/189,312.42 = 76,744.62/x
  3. Step 3: Cross multiply
    137,177.58x = 189,312.42 × 76,744.62
  4. Step 4: Simplify right side
    137,177.58x = 14,528,709,734.18
  5. Step 5: Solve for x
    x = 14,528,709,734.18/137,177.58
  6. Step 6: Final answer
    x = 105,911.69

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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.