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Finding the Fourth Proportional to 180,876.60, 271,412.10 and 75,706.20

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Solution

The fourth proportional to 180,876.60, 271,412.10 and 75,706.20 is: 113,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,876.60 : 271,412.10 = 75,706.20 : x
  2. Step 2: Convert to fraction form
    180,876.60/271,412.10 = 75,706.20/x
  3. Step 3: Cross multiply
    180,876.60x = 271,412.10 × 75,706.20
  4. Step 4: Simplify right side
    180,876.60x = 20,547,578,725.02
  5. Step 5: Solve for x
    x = 20,547,578,725.02/180,876.60
  6. Step 6: Final answer
    x = 113,599.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.