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Finding the Fourth Proportional to 97,344.60, 146,103.30 and 83,347.80

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Solution

The fourth proportional to 97,344.60, 146,103.30 and 83,347.80 is: 125,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,344.60 : 146,103.30 = 83,347.80 : x
  2. Step 2: Convert to fraction form
    97,344.60/146,103.30 = 83,347.80/x
  3. Step 3: Cross multiply
    97,344.60x = 146,103.30 × 83,347.80
  4. Step 4: Simplify right side
    97,344.60x = 12,177,388,627.74
  5. Step 5: Solve for x
    x = 12,177,388,627.74/97,344.60
  6. Step 6: Final answer
    x = 125,095.68

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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.