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Finding the Fourth Proportional to 98,077.90, 146,919.92 and 83,020.54

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Solution

The fourth proportional to 98,077.90, 146,919.92 and 83,020.54 is: 124,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,077.90 : 146,919.92 = 83,020.54 : x
  2. Step 2: Convert to fraction form
    98,077.90/146,919.92 = 83,020.54/x
  3. Step 3: Cross multiply
    98,077.90x = 146,919.92 × 83,020.54
  4. Step 4: Simplify right side
    98,077.90x = 12,197,371,095.16
  5. Step 5: Solve for x
    x = 12,197,371,095.16/98,077.90
  6. Step 6: Final answer
    x = 124,364.11

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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.