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Finding the Fourth Proportional to 310,184.80, 465,167.85 and 110,511.70

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Solution

The fourth proportional to 310,184.80, 465,167.85 and 110,511.70 is: 165,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,184.80 : 465,167.85 = 110,511.70 : x
  2. Step 2: Convert to fraction form
    310,184.80/465,167.85 = 110,511.70/x
  3. Step 3: Cross multiply
    310,184.80x = 465,167.85 × 110,511.70
  4. Step 4: Simplify right side
    310,184.80x = 51,406,489,888.85
  5. Step 5: Solve for x
    x = 51,406,489,888.85/310,184.80
  6. Step 6: Final answer
    x = 165,728.59

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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.