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Finding the Fourth Proportional to 221,963.48, 333,032.70 and 97,217

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Solution

The fourth proportional to 221,963.48, 333,032.70 and 97,217 is: 145,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,963.48 : 333,032.70 = 97,217 : x
  2. Step 2: Convert to fraction form
    221,963.48/333,032.70 = 97,217/x
  3. Step 3: Cross multiply
    221,963.48x = 333,032.70 × 97,217
  4. Step 4: Simplify right side
    221,963.48x = 32,376,439,995.90
  5. Step 5: Solve for x
    x = 32,376,439,995.90/221,963.48
  6. Step 6: Final answer
    x = 145,863.82

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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.