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Finding the Fourth Proportional to 129,700.32, 178,989.18 and 73,111.68

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Solution

The fourth proportional to 129,700.32, 178,989.18 and 73,111.68 is: 100,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,700.32 : 178,989.18 = 73,111.68 : x
  2. Step 2: Convert to fraction form
    129,700.32/178,989.18 = 73,111.68/x
  3. Step 3: Cross multiply
    129,700.32x = 178,989.18 × 73,111.68
  4. Step 4: Simplify right side
    129,700.32x = 13,086,199,651.62
  5. Step 5: Solve for x
    x = 13,086,199,651.62/129,700.32
  6. Step 6: Final answer
    x = 100,895.66

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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.