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Finding the Fourth Proportional to 144,694.10, 217,041.15 and 97,454.90

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Solution

The fourth proportional to 144,694.10, 217,041.15 and 97,454.90 is: 146,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,694.10 : 217,041.15 = 97,454.90 : x
  2. Step 2: Convert to fraction form
    144,694.10/217,041.15 = 97,454.90/x
  3. Step 3: Cross multiply
    144,694.10x = 217,041.15 × 97,454.90
  4. Step 4: Simplify right side
    144,694.10x = 21,151,723,569.14
  5. Step 5: Solve for x
    x = 21,151,723,569.14/144,694.10
  6. Step 6: Final answer
    x = 146,182.35

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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.