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Finding the Fourth Proportional to 182,854.20, 274,281.30 and 153,985.80

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Solution

The fourth proportional to 182,854.20, 274,281.30 and 153,985.80 is: 230,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,854.20 : 274,281.30 = 153,985.80 : x
  2. Step 2: Convert to fraction form
    182,854.20/274,281.30 = 153,985.80/x
  3. Step 3: Cross multiply
    182,854.20x = 274,281.30 × 153,985.80
  4. Step 4: Simplify right side
    182,854.20x = 42,235,425,405.54
  5. Step 5: Solve for x
    x = 42,235,425,405.54/182,854.20
  6. Step 6: Final answer
    x = 230,978.70

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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.