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Finding the Fourth Proportional to 200,726.28, 301,140.04 and 141,677.28

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Solution

The fourth proportional to 200,726.28, 301,140.04 and 141,677.28 is: 212,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,726.28 : 301,140.04 = 141,677.28 : x
  2. Step 2: Convert to fraction form
    200,726.28/301,140.04 = 141,677.28/x
  3. Step 3: Cross multiply
    200,726.28x = 301,140.04 × 141,677.28
  4. Step 4: Simplify right side
    200,726.28x = 42,664,701,766.29
  5. Step 5: Solve for x
    x = 42,664,701,766.29/200,726.28
  6. Step 6: Final answer
    x = 212,551.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.