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Finding the Fourth Proportional to 262,564.20, 393,327.90 and 157,069.80

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Solution

The fourth proportional to 262,564.20, 393,327.90 and 157,069.80 is: 235,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,564.20 : 393,327.90 = 157,069.80 : x
  2. Step 2: Convert to fraction form
    262,564.20/393,327.90 = 157,069.80/x
  3. Step 3: Cross multiply
    262,564.20x = 393,327.90 × 157,069.80
  4. Step 4: Simplify right side
    262,564.20x = 61,779,934,587.42
  5. Step 5: Solve for x
    x = 61,779,934,587.42/262,564.20
  6. Step 6: Final answer
    x = 235,294.59

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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.