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Finding the Fourth Proportional to 235,712.97, 353,156.90 and 160,589.25

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Solution

The fourth proportional to 235,712.97, 353,156.90 and 160,589.25 is: 240,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,712.97 : 353,156.90 = 160,589.25 : x
  2. Step 2: Convert to fraction form
    235,712.97/353,156.90 = 160,589.25/x
  3. Step 3: Cross multiply
    235,712.97x = 353,156.90 × 160,589.25
  4. Step 4: Simplify right side
    235,712.97x = 56,713,200,900.38
  5. Step 5: Solve for x
    x = 56,713,200,900.38/235,712.97
  6. Step 6: Final answer
    x = 240,602.80

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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.