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Finding the Fourth Proportional to 97,642.60, 146,550.30 and 83,645.80

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Solution

The fourth proportional to 97,642.60, 146,550.30 and 83,645.80 is: 125,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,642.60 : 146,550.30 = 83,645.80 : x
  2. Step 2: Convert to fraction form
    97,642.60/146,550.30 = 83,645.80/x
  3. Step 3: Cross multiply
    97,642.60x = 146,550.30 × 83,645.80
  4. Step 4: Simplify right side
    97,642.60x = 12,258,317,083.74
  5. Step 5: Solve for x
    x = 12,258,317,083.74/97,642.60
  6. Step 6: Final answer
    x = 125,542.71

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1.5x scale

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.