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Finding the Fourth Proportional to 207,242.16, 310,863.36 and 82,670.64

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Solution

The fourth proportional to 207,242.16, 310,863.36 and 82,670.64 is: 124,006.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,242.16 : 310,863.36 = 82,670.64 : x
  2. Step 2: Convert to fraction form
    207,242.16/310,863.36 = 82,670.64/x
  3. Step 3: Cross multiply
    207,242.16x = 310,863.36 × 82,670.64
  4. Step 4: Simplify right side
    207,242.16x = 25,699,272,923.75
  5. Step 5: Solve for x
    x = 25,699,272,923.75/207,242.16
  6. Step 6: Final answer
    x = 124,006.01

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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.