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Finding the Fourth Proportional to 207,262, 310,901.10 and 65,204.20

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Solution

The fourth proportional to 207,262, 310,901.10 and 65,204.20 is: 97,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,262 : 310,901.10 = 65,204.20 : x
  2. Step 2: Convert to fraction form
    207,262/310,901.10 = 65,204.20/x
  3. Step 3: Cross multiply
    207,262x = 310,901.10 × 65,204.20
  4. Step 4: Simplify right side
    207,262x = 20,272,057,504.62
  5. Step 5: Solve for x
    x = 20,272,057,504.62/207,262
  6. Step 6: Final answer
    x = 97,808.85

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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.