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Finding the Fourth Proportional to 218,892.38, 302,058.47 and 127,004.57

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Solution

The fourth proportional to 218,892.38, 302,058.47 and 127,004.57 is: 175,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,892.38 : 302,058.47 = 127,004.57 : x
  2. Step 2: Convert to fraction form
    218,892.38/302,058.47 = 127,004.57/x
  3. Step 3: Cross multiply
    218,892.38x = 302,058.47 × 127,004.57
  4. Step 4: Simplify right side
    218,892.38x = 38,362,803,951.89
  5. Step 5: Solve for x
    x = 38,362,803,951.89/218,892.38
  6. Step 6: Final answer
    x = 175,258.75

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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.