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Finding the Fourth Proportional to 129,086.80, 193,541.40 and 65,784.40

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Solution

The fourth proportional to 129,086.80, 193,541.40 and 65,784.40 is: 98,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,086.80 : 193,541.40 = 65,784.40 : x
  2. Step 2: Convert to fraction form
    129,086.80/193,541.40 = 65,784.40/x
  3. Step 3: Cross multiply
    129,086.80x = 193,541.40 × 65,784.40
  4. Step 4: Simplify right side
    129,086.80x = 12,732,004,874.16
  5. Step 5: Solve for x
    x = 12,732,004,874.16/129,086.80
  6. Step 6: Final answer
    x = 98,631.35

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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.