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Finding the Fourth Proportional to 230,747.28, 318,345.93 and 135,219.12

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Solution

The fourth proportional to 230,747.28, 318,345.93 and 135,219.12 is: 186,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,747.28 : 318,345.93 = 135,219.12 : x
  2. Step 2: Convert to fraction form
    230,747.28/318,345.93 = 135,219.12/x
  3. Step 3: Cross multiply
    230,747.28x = 318,345.93 × 135,219.12
  4. Step 4: Simplify right side
    230,747.28x = 43,046,456,510.18
  5. Step 5: Solve for x
    x = 43,046,456,510.18/230,747.28
  6. Step 6: Final answer
    x = 186,552.39

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Why These Related Problems?

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