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Finding the Fourth Proportional to 129,197.16, 178,276.05 and 74,758.68

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Solution

The fourth proportional to 129,197.16, 178,276.05 and 74,758.68 is: 103,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,197.16 : 178,276.05 = 74,758.68 : x
  2. Step 2: Convert to fraction form
    129,197.16/178,276.05 = 74,758.68/x
  3. Step 3: Cross multiply
    129,197.16x = 178,276.05 × 74,758.68
  4. Step 4: Simplify right side
    129,197.16x = 13,327,682,173.61
  5. Step 5: Solve for x
    x = 13,327,682,173.61/129,197.16
  6. Step 6: Final answer
    x = 103,157.70

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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.