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Finding the Fourth Proportional to 219,442.72, 329,611.20 and 144,670

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Solution

The fourth proportional to 219,442.72, 329,611.20 and 144,670 is: 217,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,442.72 : 329,611.20 = 144,670 : x
  2. Step 2: Convert to fraction form
    219,442.72/329,611.20 = 144,670/x
  3. Step 3: Cross multiply
    219,442.72x = 329,611.20 × 144,670
  4. Step 4: Simplify right side
    219,442.72x = 47,684,852,304
  5. Step 5: Solve for x
    x = 47,684,852,304/219,442.72
  6. Step 6: Final answer
    x = 217,299.77

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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.