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Finding the Fourth Proportional to 218,910.61, 302,092.61 and 123,417.38

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Solution

The fourth proportional to 218,910.61, 302,092.61 and 123,417.38 is: 170,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,910.61 : 302,092.61 = 123,417.38 : x
  2. Step 2: Convert to fraction form
    218,910.61/302,092.61 = 123,417.38/x
  3. Step 3: Cross multiply
    218,910.61x = 302,092.61 × 123,417.38
  4. Step 4: Simplify right side
    218,910.61x = 37,283,478,581.71
  5. Step 5: Solve for x
    x = 37,283,478,581.71/218,910.61
  6. Step 6: Final answer
    x = 170,313.71

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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.