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Finding the Fourth Proportional to 117,769.20, 176,729.40 and 65,216.40

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Solution

The fourth proportional to 117,769.20, 176,729.40 and 65,216.40 is: 97,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,769.20 : 176,729.40 = 65,216.40 : x
  2. Step 2: Convert to fraction form
    117,769.20/176,729.40 = 65,216.40/x
  3. Step 3: Cross multiply
    117,769.20x = 176,729.40 × 65,216.40
  4. Step 4: Simplify right side
    117,769.20x = 11,525,655,242.16
  5. Step 5: Solve for x
    x = 11,525,655,242.16/117,769.20
  6. Step 6: Final answer
    x = 97,866.46

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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.