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Finding the Fourth Proportional to 154,978.50, 232,467.74 and 49,871.28

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Solution

The fourth proportional to 154,978.50, 232,467.74 and 49,871.28 is: 74,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,978.50 : 232,467.74 = 49,871.28 : x
  2. Step 2: Convert to fraction form
    154,978.50/232,467.74 = 49,871.28/x
  3. Step 3: Cross multiply
    154,978.50x = 232,467.74 × 49,871.28
  4. Step 4: Simplify right side
    154,978.50x = 11,593,463,752.51
  5. Step 5: Solve for x
    x = 11,593,463,752.51/154,978.50
  6. Step 6: Final answer
    x = 74,806.92

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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.