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Finding the Fourth Proportional to 206,938.10, 310,443.60 and 73,895.60

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Solution

The fourth proportional to 206,938.10, 310,443.60 and 73,895.60 is: 110,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,938.10 : 310,443.60 = 73,895.60 : x
  2. Step 2: Convert to fraction form
    206,938.10/310,443.60 = 73,895.60/x
  3. Step 3: Cross multiply
    206,938.10x = 310,443.60 × 73,895.60
  4. Step 4: Simplify right side
    206,938.10x = 22,940,416,088.16
  5. Step 5: Solve for x
    x = 22,940,416,088.16/206,938.10
  6. Step 6: Final answer
    x = 110,856.42

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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.