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Finding the Fourth Proportional to 261,438.96, 360,764.60 and 146,701.92

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Solution

The fourth proportional to 261,438.96, 360,764.60 and 146,701.92 is: 202,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,438.96 : 360,764.60 = 146,701.92 : x
  2. Step 2: Convert to fraction form
    261,438.96/360,764.60 = 146,701.92/x
  3. Step 3: Cross multiply
    261,438.96x = 360,764.60 × 146,701.92
  4. Step 4: Simplify right side
    261,438.96x = 52,924,859,488.03
  5. Step 5: Solve for x
    x = 52,924,859,488.03/261,438.96
  6. Step 6: Final answer
    x = 202,436.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.