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Finding the Fourth Proportional to 98,856.76, 148,306.92 and 28,741.54

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Solution

The fourth proportional to 98,856.76, 148,306.92 and 28,741.54 is: 43,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,856.76 : 148,306.92 = 28,741.54 : x
  2. Step 2: Convert to fraction form
    98,856.76/148,306.92 = 28,741.54/x
  3. Step 3: Cross multiply
    98,856.76x = 148,306.92 × 28,741.54
  4. Step 4: Simplify right side
    98,856.76x = 4,262,569,273.46
  5. Step 5: Solve for x
    x = 4,262,569,273.46/98,856.76
  6. Step 6: Final answer
    x = 43,118.64

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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.