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Finding the Fourth Proportional to 225,730.61, 311,511.75 and 123,765.38

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Solution

The fourth proportional to 225,730.61, 311,511.75 and 123,765.38 is: 170,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,730.61 : 311,511.75 = 123,765.38 : x
  2. Step 2: Convert to fraction form
    225,730.61/311,511.75 = 123,765.38/x
  3. Step 3: Cross multiply
    225,730.61x = 311,511.75 × 123,765.38
  4. Step 4: Simplify right side
    225,730.61x = 38,554,368,555.66
  5. Step 5: Solve for x
    x = 38,554,368,555.66/225,730.61
  6. Step 6: Final answer
    x = 170,798.14

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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.