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Finding the Fourth Proportional to 218,971.38, 302,180.02 and 123,477.41

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Solution

The fourth proportional to 218,971.38, 302,180.02 and 123,477.41 is: 170,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,971.38 : 302,180.02 = 123,477.41 : x
  2. Step 2: Convert to fraction form
    218,971.38/302,180.02 = 123,477.41/x
  3. Step 3: Cross multiply
    218,971.38x = 302,180.02 × 123,477.41
  4. Step 4: Simplify right side
    218,971.38x = 37,312,406,670.10
  5. Step 5: Solve for x
    x = 37,312,406,670.10/218,971.38
  6. Step 6: Final answer
    x = 170,398.55

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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.