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Finding the Fourth Proportional to 270,541.80, 405,870.30 and 83,572.20

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Solution

The fourth proportional to 270,541.80, 405,870.30 and 83,572.20 is: 125,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,541.80 : 405,870.30 = 83,572.20 : x
  2. Step 2: Convert to fraction form
    270,541.80/405,870.30 = 83,572.20/x
  3. Step 3: Cross multiply
    270,541.80x = 405,870.30 × 83,572.20
  4. Step 4: Simplify right side
    270,541.80x = 33,919,473,885.66
  5. Step 5: Solve for x
    x = 33,919,473,885.66/270,541.80
  6. Step 6: Final answer
    x = 125,376.09

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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.