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Finding the Fourth Proportional to 118,966.64, 164,174.78 and 65,252.04

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Solution

The fourth proportional to 118,966.64, 164,174.78 and 65,252.04 is: 90,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,966.64 : 164,174.78 = 65,252.04 : x
  2. Step 2: Convert to fraction form
    118,966.64/164,174.78 = 65,252.04/x
  3. Step 3: Cross multiply
    118,966.64x = 164,174.78 × 65,252.04
  4. Step 4: Simplify right side
    118,966.64x = 10,712,739,311.55
  5. Step 5: Solve for x
    x = 10,712,739,311.55/118,966.64
  6. Step 6: Final answer
    x = 90,048.26

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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.