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Finding the Fourth Proportional to 129,089.99, 178,143.77 and 71,729.08

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Solution

The fourth proportional to 129,089.99, 178,143.77 and 71,729.08 is: 98,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,089.99 : 178,143.77 = 71,729.08 : x
  2. Step 2: Convert to fraction form
    129,089.99/178,143.77 = 71,729.08/x
  3. Step 3: Cross multiply
    129,089.99x = 178,143.77 × 71,729.08
  4. Step 4: Simplify right side
    129,089.99x = 12,778,088,729.83
  5. Step 5: Solve for x
    x = 12,778,088,729.83/129,089.99
  6. Step 6: Final answer
    x = 98,985.90

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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.