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Finding the Fourth Proportional to 97,348.60, 146,109.30 and 83,351.80

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Solution

The fourth proportional to 97,348.60, 146,109.30 and 83,351.80 is: 125,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,348.60 : 146,109.30 = 83,351.80 : x
  2. Step 2: Convert to fraction form
    97,348.60/146,109.30 = 83,351.80/x
  3. Step 3: Cross multiply
    97,348.60x = 146,109.30 × 83,351.80
  4. Step 4: Simplify right side
    97,348.60x = 12,178,473,151.74
  5. Step 5: Solve for x
    x = 12,178,473,151.74/97,348.60
  6. Step 6: Final answer
    x = 125,101.68

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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.