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Finding the Fourth Proportional to 154,602.32, 231,914.28 and 49,429.76

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Solution

The fourth proportional to 154,602.32, 231,914.28 and 49,429.76 is: 74,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,602.32 : 231,914.28 = 49,429.76 : x
  2. Step 2: Convert to fraction form
    154,602.32/231,914.28 = 49,429.76/x
  3. Step 3: Cross multiply
    154,602.32x = 231,914.28 × 49,429.76
  4. Step 4: Simplify right side
    154,602.32x = 11,463,467,200.97
  5. Step 5: Solve for x
    x = 11,463,467,200.97/154,602.32
  6. Step 6: Final answer
    x = 74,148.09

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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.