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Finding the Fourth Proportional to 206,877.06, 310,339.89 and 73,776.24

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Solution

The fourth proportional to 206,877.06, 310,339.89 and 73,776.24 is: 110,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,877.06 : 310,339.89 = 73,776.24 : x
  2. Step 2: Convert to fraction form
    206,877.06/310,339.89 = 73,776.24/x
  3. Step 3: Cross multiply
    206,877.06x = 310,339.89 × 73,776.24
  4. Step 4: Simplify right side
    206,877.06x = 22,895,710,206.21
  5. Step 5: Solve for x
    x = 22,895,710,206.21/206,877.06
  6. Step 6: Final answer
    x = 110,673.03

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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.