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Finding the Fourth Proportional to 158,164.67, 218,266.30 and 85,567.31

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Solution

The fourth proportional to 158,164.67, 218,266.30 and 85,567.31 is: 118,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,164.67 : 218,266.30 = 85,567.31 : x
  2. Step 2: Convert to fraction form
    158,164.67/218,266.30 = 85,567.31/x
  3. Step 3: Cross multiply
    158,164.67x = 218,266.30 × 85,567.31
  4. Step 4: Simplify right side
    158,164.67x = 18,676,461,353.43
  5. Step 5: Solve for x
    x = 18,676,461,353.43/158,164.67
  6. Step 6: Final answer
    x = 118,082.39

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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.