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Finding the Fourth Proportional to 98,906.40, 148,203.96 and 76,471.86

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Solution

The fourth proportional to 98,906.40, 148,203.96 and 76,471.86 is: 114,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,906.40 : 148,203.96 = 76,471.86 : x
  2. Step 2: Convert to fraction form
    98,906.40/148,203.96 = 76,471.86/x
  3. Step 3: Cross multiply
    98,906.40x = 148,203.96 × 76,471.86
  4. Step 4: Simplify right side
    98,906.40x = 11,333,432,480.57
  5. Step 5: Solve for x
    x = 11,333,432,480.57/98,906.40
  6. Step 6: Final answer
    x = 114,587.45

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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.