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Finding the Fourth Proportional to 238,046.40, 356,572.80 and 111,794.40

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Solution

The fourth proportional to 238,046.40, 356,572.80 and 111,794.40 is: 167,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,046.40 : 356,572.80 = 111,794.40 : x
  2. Step 2: Convert to fraction form
    238,046.40/356,572.80 = 111,794.40/x
  3. Step 3: Cross multiply
    238,046.40x = 356,572.80 × 111,794.40
  4. Step 4: Simplify right side
    238,046.40x = 39,862,842,232.32
  5. Step 5: Solve for x
    x = 39,862,842,232.32/238,046.40
  6. Step 6: Final answer
    x = 167,458.29

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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.