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Finding the Fourth Proportional to 116,274.21, 160,452.79 and 65,280.66

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Solution

The fourth proportional to 116,274.21, 160,452.79 and 65,280.66 is: 90,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,274.21 : 160,452.79 = 65,280.66 : x
  2. Step 2: Convert to fraction form
    116,274.21/160,452.79 = 65,280.66/x
  3. Step 3: Cross multiply
    116,274.21x = 160,452.79 × 65,280.66
  4. Step 4: Simplify right side
    116,274.21x = 10,474,464,030.04
  5. Step 5: Solve for x
    x = 10,474,464,030.04/116,274.21
  6. Step 6: Final answer
    x = 90,084.16

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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.