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Finding the Fourth Proportional to 129,293.04, 178,422.84 and 72,714

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Solution

The fourth proportional to 129,293.04, 178,422.84 and 72,714 is: 100,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,293.04 : 178,422.84 = 72,714 : x
  2. Step 2: Convert to fraction form
    129,293.04/178,422.84 = 72,714/x
  3. Step 3: Cross multiply
    129,293.04x = 178,422.84 × 72,714
  4. Step 4: Simplify right side
    129,293.04x = 12,973,838,387.76
  5. Step 5: Solve for x
    x = 12,973,838,387.76/129,293.04
  6. Step 6: Final answer
    x = 100,344.45

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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.