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Finding the Fourth Proportional to 129,971.60, 194,957.40 and 85,648.40

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Solution

The fourth proportional to 129,971.60, 194,957.40 and 85,648.40 is: 128,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,971.60 : 194,957.40 = 85,648.40 : x
  2. Step 2: Convert to fraction form
    129,971.60/194,957.40 = 85,648.40/x
  3. Step 3: Cross multiply
    129,971.60x = 194,957.40 × 85,648.40
  4. Step 4: Simplify right side
    129,971.60x = 16,697,789,378.16
  5. Step 5: Solve for x
    x = 16,697,789,378.16/129,971.60
  6. Step 6: Final answer
    x = 128,472.60

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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.