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Finding the Fourth Proportional to 129,321, 178,462.98 and 72,733.59

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Solution

The fourth proportional to 129,321, 178,462.98 and 72,733.59 is: 100,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,321 : 178,462.98 = 72,733.59 : x
  2. Step 2: Convert to fraction form
    129,321/178,462.98 = 72,733.59/x
  3. Step 3: Cross multiply
    129,321x = 178,462.98 × 72,733.59
  4. Step 4: Simplify right side
    129,321x = 12,980,253,217.50
  5. Step 5: Solve for x
    x = 12,980,253,217.50/129,321
  6. Step 6: Final answer
    x = 100,372.35

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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.