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Finding the Fourth Proportional to 218,712.32, 301,824.06 and 123,220.52

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Solution

The fourth proportional to 218,712.32, 301,824.06 and 123,220.52 is: 170,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,712.32 : 301,824.06 = 123,220.52 : x
  2. Step 2: Convert to fraction form
    218,712.32/301,824.06 = 123,220.52/x
  3. Step 3: Cross multiply
    218,712.32x = 301,824.06 × 123,220.52
  4. Step 4: Simplify right side
    218,712.32x = 37,190,917,621.71
  5. Step 5: Solve for x
    x = 37,190,917,621.71/218,712.32
  6. Step 6: Final answer
    x = 170,044.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.