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Finding the Fourth Proportional to 542,925.75, 814,388.64 and 168,948.75

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Solution

The fourth proportional to 542,925.75, 814,388.64 and 168,948.75 is: 253,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,925.75 : 814,388.64 = 168,948.75 : x
  2. Step 2: Convert to fraction form
    542,925.75/814,388.64 = 168,948.75/x
  3. Step 3: Cross multiply
    542,925.75x = 814,388.64 × 168,948.75
  4. Step 4: Simplify right side
    542,925.75x = 137,589,942,742.20
  5. Step 5: Solve for x
    x = 137,589,942,742.20/542,925.75
  6. Step 6: Final answer
    x = 253,423.13

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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.