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Finding the Fourth Proportional to 229,237.70, 343,856.55 and 71,464.90

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Solution

The fourth proportional to 229,237.70, 343,856.55 and 71,464.90 is: 107,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,237.70 : 343,856.55 = 71,464.90 : x
  2. Step 2: Convert to fraction form
    229,237.70/343,856.55 = 71,464.90/x
  3. Step 3: Cross multiply
    229,237.70x = 343,856.55 × 71,464.90
  4. Step 4: Simplify right side
    229,237.70x = 24,573,673,960.10
  5. Step 5: Solve for x
    x = 24,573,673,960.10/229,237.70
  6. Step 6: Final answer
    x = 107,197.35

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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.