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Finding the Fourth Proportional to 98,073.90, 146,913.93 and 83,016.54

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Solution

The fourth proportional to 98,073.90, 146,913.93 and 83,016.54 is: 124,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,073.90 : 146,913.93 = 83,016.54 : x
  2. Step 2: Convert to fraction form
    98,073.90/146,913.93 = 83,016.54/x
  3. Step 3: Cross multiply
    98,073.90x = 146,913.93 × 83,016.54
  4. Step 4: Simplify right side
    98,073.90x = 12,196,286,146.40
  5. Step 5: Solve for x
    x = 12,196,286,146.40/98,073.90
  6. Step 6: Final answer
    x = 124,358.12

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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.