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Finding the Fourth Proportional to 206,962.40, 310,443.60 and 160,306.40

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Solution

The fourth proportional to 206,962.40, 310,443.60 and 160,306.40 is: 240,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,962.40 : 310,443.60 = 160,306.40 : x
  2. Step 2: Convert to fraction form
    206,962.40/310,443.60 = 160,306.40/x
  3. Step 3: Cross multiply
    206,962.40x = 310,443.60 × 160,306.40
  4. Step 4: Simplify right side
    206,962.40x = 49,766,095,919.04
  5. Step 5: Solve for x
    x = 49,766,095,919.04/206,962.40
  6. Step 6: Final answer
    x = 240,459.60

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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.