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Finding the Fourth Proportional to 207,027.82, 310,541.84 and 64,884.16

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Solution

The fourth proportional to 207,027.82, 310,541.84 and 64,884.16 is: 97,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,027.82 : 310,541.84 = 64,884.16 : x
  2. Step 2: Convert to fraction form
    207,027.82/310,541.84 = 64,884.16/x
  3. Step 3: Cross multiply
    207,027.82x = 310,541.84 × 64,884.16
  4. Step 4: Simplify right side
    207,027.82x = 20,149,247,079.28
  5. Step 5: Solve for x
    x = 20,149,247,079.28/207,027.82
  6. Step 6: Final answer
    x = 97,326.28

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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.