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Finding the Fourth Proportional to 162,014.94, 223,569.99 and 101,583

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Solution

The fourth proportional to 162,014.94, 223,569.99 and 101,583 is: 140,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,014.94 : 223,569.99 = 101,583 : x
  2. Step 2: Convert to fraction form
    162,014.94/223,569.99 = 101,583/x
  3. Step 3: Cross multiply
    162,014.94x = 223,569.99 × 101,583
  4. Step 4: Simplify right side
    162,014.94x = 22,710,910,294.17
  5. Step 5: Solve for x
    x = 22,710,910,294.17/162,014.94
  6. Step 6: Final answer
    x = 140,177.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.