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Finding the Fourth Proportional to 129,287.34, 178,415.46 and 72,697.50

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Solution

The fourth proportional to 129,287.34, 178,415.46 and 72,697.50 is: 100,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,287.34 : 178,415.46 = 72,697.50 : x
  2. Step 2: Convert to fraction form
    129,287.34/178,415.46 = 72,697.50/x
  3. Step 3: Cross multiply
    129,287.34x = 178,415.46 × 72,697.50
  4. Step 4: Simplify right side
    129,287.34x = 12,970,357,903.35
  5. Step 5: Solve for x
    x = 12,970,357,903.35/129,287.34
  6. Step 6: Final answer
    x = 100,321.95

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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.