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Finding the Fourth Proportional to 205,502.67, 283,066.11 and 144,966.87

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Solution

The fourth proportional to 205,502.67, 283,066.11 and 144,966.87 is: 199,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,502.67 : 283,066.11 = 144,966.87 : x
  2. Step 2: Convert to fraction form
    205,502.67/283,066.11 = 144,966.87/x
  3. Step 3: Cross multiply
    205,502.67x = 283,066.11 × 144,966.87
  4. Step 4: Simplify right side
    205,502.67x = 41,035,207,969.78
  5. Step 5: Solve for x
    x = 41,035,207,969.78/205,502.67
  6. Step 6: Final answer
    x = 199,682.12

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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.