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Finding the Fourth Proportional to 144,952.30, 217,428.45 and 97,713.10

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Solution

The fourth proportional to 144,952.30, 217,428.45 and 97,713.10 is: 146,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,952.30 : 217,428.45 = 97,713.10 : x
  2. Step 2: Convert to fraction form
    144,952.30/217,428.45 = 97,713.10/x
  3. Step 3: Cross multiply
    144,952.30x = 217,428.45 × 97,713.10
  4. Step 4: Simplify right side
    144,952.30x = 21,245,607,877.70
  5. Step 5: Solve for x
    x = 21,245,607,877.70/144,952.30
  6. Step 6: Final answer
    x = 146,569.65

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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.