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Finding the Fourth Proportional to 221,864.90, 332,602.95 and 133,024.10

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Solution

The fourth proportional to 221,864.90, 332,602.95 and 133,024.10 is: 199,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,864.90 : 332,602.95 = 133,024.10 : x
  2. Step 2: Convert to fraction form
    221,864.90/332,602.95 = 133,024.10/x
  3. Step 3: Cross multiply
    221,864.90x = 332,602.95 × 133,024.10
  4. Step 4: Simplify right side
    221,864.90x = 44,244,208,081.10
  5. Step 5: Solve for x
    x = 44,244,208,081.10/221,864.90
  6. Step 6: Final answer
    x = 199,419.59

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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.