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Finding the Fourth Proportional to 129,409.39, 194,114.10 and 59,288.71

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Solution

The fourth proportional to 129,409.39, 194,114.10 and 59,288.71 is: 88,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,409.39 : 194,114.10 = 59,288.71 : x
  2. Step 2: Convert to fraction form
    129,409.39/194,114.10 = 59,288.71/x
  3. Step 3: Cross multiply
    129,409.39x = 194,114.10 × 59,288.71
  4. Step 4: Simplify right side
    129,409.39x = 11,508,774,581.81
  5. Step 5: Solve for x
    x = 11,508,774,581.81/129,409.39
  6. Step 6: Final answer
    x = 88,933.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.