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Finding the Fourth Proportional to 223,294.88, 308,164.08 and 127,831.52

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Solution

The fourth proportional to 223,294.88, 308,164.08 and 127,831.52 is: 176,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,294.88 : 308,164.08 = 127,831.52 : x
  2. Step 2: Convert to fraction form
    223,294.88/308,164.08 = 127,831.52/x
  3. Step 3: Cross multiply
    223,294.88x = 308,164.08 × 127,831.52
  4. Step 4: Simplify right side
    223,294.88x = 39,393,082,755.80
  5. Step 5: Solve for x
    x = 39,393,082,755.80/223,294.88
  6. Step 6: Final answer
    x = 176,417.31

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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.