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Finding the Fourth Proportional to 173,842.70, 261,080.85 and 152,069.90

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Solution

The fourth proportional to 173,842.70, 261,080.85 and 152,069.90 is: 228,381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,842.70 : 261,080.85 = 152,069.90 : x
  2. Step 2: Convert to fraction form
    173,842.70/261,080.85 = 152,069.90/x
  3. Step 3: Cross multiply
    173,842.70x = 261,080.85 × 152,069.90
  4. Step 4: Simplify right side
    173,842.70x = 39,702,538,751.42
  5. Step 5: Solve for x
    x = 39,702,538,751.42/173,842.70
  6. Step 6: Final answer
    x = 228,381.97

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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.