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Finding the Fourth Proportional to 367,065.30, 550,798.56 and 142,434.54

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Solution

The fourth proportional to 367,065.30, 550,798.56 and 142,434.54 is: 213,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,065.30 : 550,798.56 = 142,434.54 : x
  2. Step 2: Convert to fraction form
    367,065.30/550,798.56 = 142,434.54/x
  3. Step 3: Cross multiply
    367,065.30x = 550,798.56 × 142,434.54
  4. Step 4: Simplify right side
    367,065.30x = 78,452,739,526.26
  5. Step 5: Solve for x
    x = 78,452,739,526.26/367,065.30
  6. Step 6: Final answer
    x = 213,729.65

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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.