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Finding the Fourth Proportional to 283,544.16, 391,290.72 and 156,219.75

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Solution

The fourth proportional to 283,544.16, 391,290.72 and 156,219.75 is: 215,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,544.16 : 391,290.72 = 156,219.75 : x
  2. Step 2: Convert to fraction form
    283,544.16/391,290.72 = 156,219.75/x
  3. Step 3: Cross multiply
    283,544.16x = 391,290.72 × 156,219.75
  4. Step 4: Simplify right side
    283,544.16x = 61,127,337,966.61
  5. Step 5: Solve for x
    x = 61,127,337,966.61/283,544.16
  6. Step 6: Final answer
    x = 215,583.14

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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.