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Finding the Fourth Proportional to 146,552.80, 219,902.10 and 57,809.20

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Solution

The fourth proportional to 146,552.80, 219,902.10 and 57,809.20 is: 86,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,552.80 : 219,902.10 = 57,809.20 : x
  2. Step 2: Convert to fraction form
    146,552.80/219,902.10 = 57,809.20/x
  3. Step 3: Cross multiply
    146,552.80x = 219,902.10 × 57,809.20
  4. Step 4: Simplify right side
    146,552.80x = 12,712,364,479.32
  5. Step 5: Solve for x
    x = 12,712,364,479.32/146,552.80
  6. Step 6: Final answer
    x = 86,742.56

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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.