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Finding the Fourth Proportional to 207,461.04, 311,191.56 and 57,695.28

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Solution

The fourth proportional to 207,461.04, 311,191.56 and 57,695.28 is: 86,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,461.04 : 311,191.56 = 57,695.28 : x
  2. Step 2: Convert to fraction form
    207,461.04/311,191.56 = 57,695.28/x
  3. Step 3: Cross multiply
    207,461.04x = 311,191.56 × 57,695.28
  4. Step 4: Simplify right side
    207,461.04x = 17,954,284,187.84
  5. Step 5: Solve for x
    x = 17,954,284,187.84/207,461.04
  6. Step 6: Final answer
    x = 86,542.92

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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.