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Finding the Fourth Proportional to 145,523.15, 217,934.54 and 98,633.87

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Solution

The fourth proportional to 145,523.15, 217,934.54 and 98,633.87 is: 147,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,523.15 : 217,934.54 = 98,633.87 : x
  2. Step 2: Convert to fraction form
    145,523.15/217,934.54 = 98,633.87/x
  3. Step 3: Cross multiply
    145,523.15x = 217,934.54 × 98,633.87
  4. Step 4: Simplify right side
    145,523.15x = 21,495,726,593.70
  5. Step 5: Solve for x
    x = 21,495,726,593.70/145,523.15
  6. Step 6: Final answer
    x = 147,713.45

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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.