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Finding the Fourth Proportional to 291,149.76, 436,024.80 and 166,111.68

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Solution

The fourth proportional to 291,149.76, 436,024.80 and 166,111.68 is: 248,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,149.76 : 436,024.80 = 166,111.68 : x
  2. Step 2: Convert to fraction form
    291,149.76/436,024.80 = 166,111.68/x
  3. Step 3: Cross multiply
    291,149.76x = 436,024.80 × 166,111.68
  4. Step 4: Simplify right side
    291,149.76x = 72,428,812,049.66
  5. Step 5: Solve for x
    x = 72,428,812,049.66/291,149.76
  6. Step 6: Final answer
    x = 248,768.24

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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.