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Finding the Fourth Proportional to 153,343.80, 230,102.10 and 59,837.40

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Solution

The fourth proportional to 153,343.80, 230,102.10 and 59,837.40 is: 89,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,343.80 : 230,102.10 = 59,837.40 : x
  2. Step 2: Convert to fraction form
    153,343.80/230,102.10 = 59,837.40/x
  3. Step 3: Cross multiply
    153,343.80x = 230,102.10 × 59,837.40
  4. Step 4: Simplify right side
    153,343.80x = 13,768,711,398.54
  5. Step 5: Solve for x
    x = 13,768,711,398.54/153,343.80
  6. Step 6: Final answer
    x = 89,789.81

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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.