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Finding the Fourth Proportional to 225,295.46, 310,894.44 and 123,300.80

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Solution

The fourth proportional to 225,295.46, 310,894.44 and 123,300.80 is: 170,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,295.46 : 310,894.44 = 123,300.80 : x
  2. Step 2: Convert to fraction form
    225,295.46/310,894.44 = 123,300.80/x
  3. Step 3: Cross multiply
    225,295.46x = 310,894.44 × 123,300.80
  4. Step 4: Simplify right side
    225,295.46x = 38,333,533,167.55
  5. Step 5: Solve for x
    x = 38,333,533,167.55/225,295.46
  6. Step 6: Final answer
    x = 170,147.83

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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.