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Finding the Fourth Proportional to 291,144.76, 436,017.30 and 166,106.68

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Solution

The fourth proportional to 291,144.76, 436,017.30 and 166,106.68 is: 248,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,144.76 : 436,017.30 = 166,106.68 : x
  2. Step 2: Convert to fraction form
    291,144.76/436,017.30 = 166,106.68/x
  3. Step 3: Cross multiply
    291,144.76x = 436,017.30 × 166,106.68
  4. Step 4: Simplify right side
    291,144.76x = 72,425,386,125.56
  5. Step 5: Solve for x
    x = 72,425,386,125.56/291,144.76
  6. Step 6: Final answer
    x = 248,760.74

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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.