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Finding the Fourth Proportional to 212,046.64, 292,617.84 and 116,553.04

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Solution

The fourth proportional to 212,046.64, 292,617.84 and 116,553.04 is: 160,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,046.64 : 292,617.84 = 116,553.04 : x
  2. Step 2: Convert to fraction form
    212,046.64/292,617.84 = 116,553.04/x
  3. Step 3: Cross multiply
    212,046.64x = 292,617.84 × 116,553.04
  4. Step 4: Simplify right side
    212,046.64x = 34,105,498,810.23
  5. Step 5: Solve for x
    x = 34,105,498,810.23/212,046.64
  6. Step 6: Final answer
    x = 160,839.61

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1.5x scale

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.