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Finding the Fourth Proportional to 542,726.95, 814,162.41 and 201,123.01

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Solution

The fourth proportional to 542,726.95, 814,162.41 and 201,123.01 is: 301,711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,726.95 : 814,162.41 = 201,123.01 : x
  2. Step 2: Convert to fraction form
    542,726.95/814,162.41 = 201,123.01/x
  3. Step 3: Cross multiply
    542,726.95x = 814,162.41 × 201,123.01
  4. Step 4: Simplify right side
    542,726.95x = 163,746,794,528.05
  5. Step 5: Solve for x
    x = 163,746,794,528.05/542,726.95
  6. Step 6: Final answer
    x = 301,711.19

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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.