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Finding the Fourth Proportional to 314,167.80, 471,230.10 and 100,932.60

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Solution

The fourth proportional to 314,167.80, 471,230.10 and 100,932.60 is: 151,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,167.80 : 471,230.10 = 100,932.60 : x
  2. Step 2: Convert to fraction form
    314,167.80/471,230.10 = 100,932.60/x
  3. Step 3: Cross multiply
    314,167.80x = 471,230.10 × 100,932.60
  4. Step 4: Simplify right side
    314,167.80x = 47,562,479,191.26
  5. Step 5: Solve for x
    x = 47,562,479,191.26/314,167.80
  6. Step 6: Final answer
    x = 151,391.96

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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.