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Finding the Fourth Proportional to 153,361.80, 211,634.10 and 86,280.84

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Solution

The fourth proportional to 153,361.80, 211,634.10 and 86,280.84 is: 119,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,361.80 : 211,634.10 = 86,280.84 : x
  2. Step 2: Convert to fraction form
    153,361.80/211,634.10 = 86,280.84/x
  3. Step 3: Cross multiply
    153,361.80x = 211,634.10 × 86,280.84
  4. Step 4: Simplify right side
    153,361.80x = 18,259,967,920.64
  5. Step 5: Solve for x
    x = 18,259,967,920.64/153,361.80
  6. Step 6: Final answer
    x = 119,064.64

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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.