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Finding the Fourth Proportional to 154,492.74, 231,735.87 and 49,309.92

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Solution

The fourth proportional to 154,492.74, 231,735.87 and 49,309.92 is: 73,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,492.74 : 231,735.87 = 49,309.92 : x
  2. Step 2: Convert to fraction form
    154,492.74/231,735.87 = 49,309.92/x
  3. Step 3: Cross multiply
    154,492.74x = 231,735.87 × 49,309.92
  4. Step 4: Simplify right side
    154,492.74x = 11,426,877,210.83
  5. Step 5: Solve for x
    x = 11,426,877,210.83/154,492.74
  6. Step 6: Final answer
    x = 73,963.85

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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.