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Finding the Fourth Proportional to 270,552.80, 405,886.80 and 83,583.20

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Solution

The fourth proportional to 270,552.80, 405,886.80 and 83,583.20 is: 125,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,552.80 : 405,886.80 = 83,583.20 : x
  2. Step 2: Convert to fraction form
    270,552.80/405,886.80 = 83,583.20/x
  3. Step 3: Cross multiply
    270,552.80x = 405,886.80 × 83,583.20
  4. Step 4: Simplify right side
    270,552.80x = 33,925,317,581.76
  5. Step 5: Solve for x
    x = 33,925,317,581.76/270,552.80
  6. Step 6: Final answer
    x = 125,392.59

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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.