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Finding the Fourth Proportional to 117,193.16, 161,718.54 and 65,506.88

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Solution

The fourth proportional to 117,193.16, 161,718.54 and 65,506.88 is: 90,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,193.16 : 161,718.54 = 65,506.88 : x
  2. Step 2: Convert to fraction form
    117,193.16/161,718.54 = 65,506.88/x
  3. Step 3: Cross multiply
    117,193.16x = 161,718.54 × 65,506.88
  4. Step 4: Simplify right side
    117,193.16x = 10,593,676,993.56
  5. Step 5: Solve for x
    x = 10,593,676,993.56/117,193.16
  6. Step 6: Final answer
    x = 90,395.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.