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Finding the Fourth Proportional to 175,655.40, 262,868.70 and 160,909.80

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Solution

The fourth proportional to 175,655.40, 262,868.70 and 160,909.80 is: 240,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,655.40 : 262,868.70 = 160,909.80 : x
  2. Step 2: Convert to fraction form
    175,655.40/262,868.70 = 160,909.80/x
  3. Step 3: Cross multiply
    175,655.40x = 262,868.70 × 160,909.80
  4. Step 4: Simplify right side
    175,655.40x = 42,298,149,943.26
  5. Step 5: Solve for x
    x = 42,298,149,943.26/175,655.40
  6. Step 6: Final answer
    x = 240,801.88

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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.