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Finding the Fourth Proportional to 146,115.52, 219,202.80 and 61,875.52

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Solution

The fourth proportional to 146,115.52, 219,202.80 and 61,875.52 is: 92,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,115.52 : 219,202.80 = 61,875.52 : x
  2. Step 2: Convert to fraction form
    146,115.52/219,202.80 = 61,875.52/x
  3. Step 3: Cross multiply
    146,115.52x = 219,202.80 × 61,875.52
  4. Step 4: Simplify right side
    146,115.52x = 13,563,287,235.46
  5. Step 5: Solve for x
    x = 13,563,287,235.46/146,115.52
  6. Step 6: Final answer
    x = 92,825.78

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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.