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Finding the Fourth Proportional to 159,749.52, 220,526.74 and 101,630.14

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Solution

The fourth proportional to 159,749.52, 220,526.74 and 101,630.14 is: 140,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,749.52 : 220,526.74 = 101,630.14 : x
  2. Step 2: Convert to fraction form
    159,749.52/220,526.74 = 101,630.14/x
  3. Step 3: Cross multiply
    159,749.52x = 220,526.74 × 101,630.14
  4. Step 4: Simplify right side
    159,749.52x = 22,412,163,459.94
  5. Step 5: Solve for x
    x = 22,412,163,459.94/159,749.52
  6. Step 6: Final answer
    x = 140,295.65

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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.