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Finding the Fourth Proportional to 261,780.90, 361,248.09 and 159,976.77

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Solution

The fourth proportional to 261,780.90, 361,248.09 and 159,976.77 is: 220,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,780.90 : 361,248.09 = 159,976.77 : x
  2. Step 2: Convert to fraction form
    261,780.90/361,248.09 = 159,976.77/x
  3. Step 3: Cross multiply
    261,780.90x = 361,248.09 × 159,976.77
  4. Step 4: Simplify right side
    261,780.90x = 57,791,302,606.87
  5. Step 5: Solve for x
    x = 57,791,302,606.87/261,780.90
  6. Step 6: Final answer
    x = 220,762.11

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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.