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Finding the Fourth Proportional to 180,773.42, 249,469.16 and 100,202.31

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Solution

The fourth proportional to 180,773.42, 249,469.16 and 100,202.31 is: 138,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,773.42 : 249,469.16 = 100,202.31 : x
  2. Step 2: Convert to fraction form
    180,773.42/249,469.16 = 100,202.31/x
  3. Step 3: Cross multiply
    180,773.42x = 249,469.16 × 100,202.31
  4. Step 4: Simplify right side
    180,773.42x = 24,997,385,604.75
  5. Step 5: Solve for x
    x = 24,997,385,604.75/180,773.42
  6. Step 6: Final answer
    x = 138,280.21

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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.