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Finding the Fourth Proportional to 206,862.35, 310,072.80 and 117,924.35

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Solution

The fourth proportional to 206,862.35, 310,072.80 and 117,924.35 is: 176,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,862.35 : 310,072.80 = 117,924.35 : x
  2. Step 2: Convert to fraction form
    206,862.35/310,072.80 = 117,924.35/x
  3. Step 3: Cross multiply
    206,862.35x = 310,072.80 × 117,924.35
  4. Step 4: Simplify right side
    206,862.35x = 36,565,133,392.68
  5. Step 5: Solve for x
    x = 36,565,133,392.68/206,862.35
  6. Step 6: Final answer
    x = 176,760.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.