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Finding the Fourth Proportional to 283,999.61, 391,919.43 and 156,675.20

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Solution

The fourth proportional to 283,999.61, 391,919.43 and 156,675.20 is: 216,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,999.61 : 391,919.43 = 156,675.20 : x
  2. Step 2: Convert to fraction form
    283,999.61/391,919.43 = 156,675.20/x
  3. Step 3: Cross multiply
    283,999.61x = 391,919.43 × 156,675.20
  4. Step 4: Simplify right side
    283,999.61x = 61,404,055,079.14
  5. Step 5: Solve for x
    x = 61,404,055,079.14/283,999.61
  6. Step 6: Final answer
    x = 216,211.76

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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.