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Finding the Fourth Proportional to 154,478.99, 231,722.54 and 49,297.86

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Solution

The fourth proportional to 154,478.99, 231,722.54 and 49,297.86 is: 73,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,478.99 : 231,722.54 = 49,297.86 : x
  2. Step 2: Convert to fraction form
    154,478.99/231,722.54 = 49,297.86/x
  3. Step 3: Cross multiply
    154,478.99x = 231,722.54 × 49,297.86
  4. Step 4: Simplify right side
    154,478.99x = 11,423,425,335.76
  5. Step 5: Solve for x
    x = 11,423,425,335.76/154,478.99
  6. Step 6: Final answer
    x = 73,948.08

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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.