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Finding the Fourth Proportional to 206,838.40, 310,284.06 and 73,732.10

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Solution

The fourth proportional to 206,838.40, 310,284.06 and 73,732.10 is: 110,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838.40 : 310,284.06 = 73,732.10 : x
  2. Step 2: Convert to fraction form
    206,838.40/310,284.06 = 73,732.10/x
  3. Step 3: Cross multiply
    206,838.40x = 310,284.06 × 73,732.10
  4. Step 4: Simplify right side
    206,838.40x = 22,877,895,340.33
  5. Step 5: Solve for x
    x = 22,877,895,340.33/206,838.40
  6. Step 6: Final answer
    x = 110,607.58

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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.