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Finding the Fourth Proportional to 147,952.69, 221,961.92 and 69,023.86

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Solution

The fourth proportional to 147,952.69, 221,961.92 and 69,023.86 is: 103,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,952.69 : 221,961.92 = 69,023.86 : x
  2. Step 2: Convert to fraction form
    147,952.69/221,961.92 = 69,023.86/x
  3. Step 3: Cross multiply
    147,952.69x = 221,961.92 × 69,023.86
  4. Step 4: Simplify right side
    147,952.69x = 15,320,667,486.49
  5. Step 5: Solve for x
    x = 15,320,667,486.49/147,952.69
  6. Step 6: Final answer
    x = 103,551.13

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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.