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Finding the Fourth Proportional to 120,191.52, 165,869.32 and 69,202.98

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Solution

The fourth proportional to 120,191.52, 165,869.32 and 69,202.98 is: 95,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,191.52 : 165,869.32 = 69,202.98 : x
  2. Step 2: Convert to fraction form
    120,191.52/165,869.32 = 69,202.98/x
  3. Step 3: Cross multiply
    120,191.52x = 165,869.32 × 69,202.98
  4. Step 4: Simplify right side
    120,191.52x = 11,478,650,888.56
  5. Step 5: Solve for x
    x = 11,478,650,888.56/120,191.52
  6. Step 6: Final answer
    x = 95,503.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.