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Finding the Fourth Proportional to 242,813.28, 335,293.88 and 152,324.79

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Solution

The fourth proportional to 242,813.28, 335,293.88 and 152,324.79 is: 210,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,813.28 : 335,293.88 = 152,324.79 : x
  2. Step 2: Convert to fraction form
    242,813.28/335,293.88 = 152,324.79/x
  3. Step 3: Cross multiply
    242,813.28x = 335,293.88 × 152,324.79
  4. Step 4: Simplify right side
    242,813.28x = 51,073,569,859.29
  5. Step 5: Solve for x
    x = 51,073,569,859.29/242,813.28
  6. Step 6: Final answer
    x = 210,340.92

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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.