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Finding the Fourth Proportional to 129,091.64, 178,154.38 and 72,503

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Solution

The fourth proportional to 129,091.64, 178,154.38 and 72,503 is: 100,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,091.64 : 178,154.38 = 72,503 : x
  2. Step 2: Convert to fraction form
    129,091.64/178,154.38 = 72,503/x
  3. Step 3: Cross multiply
    129,091.64x = 178,154.38 × 72,503
  4. Step 4: Simplify right side
    129,091.64x = 12,916,727,013.14
  5. Step 5: Solve for x
    x = 12,916,727,013.14/129,091.64
  6. Step 6: Final answer
    x = 100,058.59

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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.