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Finding the Fourth Proportional to 223,419.28, 308,332.56 and 127,923.52

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Solution

The fourth proportional to 223,419.28, 308,332.56 and 127,923.52 is: 176,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,419.28 : 308,332.56 = 127,923.52 : x
  2. Step 2: Convert to fraction form
    223,419.28/308,332.56 = 127,923.52/x
  3. Step 3: Cross multiply
    223,419.28x = 308,332.56 × 127,923.52
  4. Step 4: Simplify right side
    223,419.28x = 39,442,986,405.81
  5. Step 5: Solve for x
    x = 39,442,986,405.81/223,419.28
  6. Step 6: Final answer
    x = 176,542.45

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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.