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Finding the Fourth Proportional to 282,568.01, 389,952.16 and 161,748.14

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Solution

The fourth proportional to 282,568.01, 389,952.16 and 161,748.14 is: 223,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,568.01 : 389,952.16 = 161,748.14 : x
  2. Step 2: Convert to fraction form
    282,568.01/389,952.16 = 161,748.14/x
  3. Step 3: Cross multiply
    282,568.01x = 389,952.16 × 161,748.14
  4. Step 4: Simplify right side
    282,568.01x = 63,074,034,214.85
  5. Step 5: Solve for x
    x = 63,074,034,214.85/282,568.01
  6. Step 6: Final answer
    x = 223,217.18

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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.