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Finding the Fourth Proportional to 129,205.47, 178,281.84 and 71,843.16

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Solution

The fourth proportional to 129,205.47, 178,281.84 and 71,843.16 is: 99,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205.47 : 178,281.84 = 71,843.16 : x
  2. Step 2: Convert to fraction form
    129,205.47/178,281.84 = 71,843.16/x
  3. Step 3: Cross multiply
    129,205.47x = 178,281.84 × 71,843.16
  4. Step 4: Simplify right side
    129,205.47x = 12,808,330,756.21
  5. Step 5: Solve for x
    x = 12,808,330,756.21/129,205.47
  6. Step 6: Final answer
    x = 99,131.49

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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.