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Finding the Fourth Proportional to 153,463, 230,194.62 and 42,655

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Solution

The fourth proportional to 153,463, 230,194.62 and 42,655 is: 63,982.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,463 : 230,194.62 = 42,655 : x
  2. Step 2: Convert to fraction form
    153,463/230,194.62 = 42,655/x
  3. Step 3: Cross multiply
    153,463x = 230,194.62 × 42,655
  4. Step 4: Simplify right side
    153,463x = 9,818,951,516.10
  5. Step 5: Solve for x
    x = 9,818,951,516.10/153,463
  6. Step 6: Final answer
    x = 63,982.53

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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.