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Finding the Fourth Proportional to 121,567.60, 182,351.40 and 96,198.40

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Solution

The fourth proportional to 121,567.60, 182,351.40 and 96,198.40 is: 144,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,567.60 : 182,351.40 = 96,198.40 : x
  2. Step 2: Convert to fraction form
    121,567.60/182,351.40 = 96,198.40/x
  3. Step 3: Cross multiply
    121,567.60x = 182,351.40 × 96,198.40
  4. Step 4: Simplify right side
    121,567.60x = 17,541,912,917.76
  5. Step 5: Solve for x
    x = 17,541,912,917.76/121,567.60
  6. Step 6: Final answer
    x = 144,297.60

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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.