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Finding the Fourth Proportional to 98,865.66, 148,235.61 and 83,877.96

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Solution

The fourth proportional to 98,865.66, 148,235.61 and 83,877.96 is: 125,763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,865.66 : 148,235.61 = 83,877.96 : x
  2. Step 2: Convert to fraction form
    98,865.66/148,235.61 = 83,877.96/x
  3. Step 3: Cross multiply
    98,865.66x = 148,235.61 × 83,877.96
  4. Step 4: Simplify right side
    98,865.66x = 12,433,700,566.16
  5. Step 5: Solve for x
    x = 12,433,700,566.16/98,865.66
  6. Step 6: Final answer
    x = 125,763.59

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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.