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Finding the Fourth Proportional to 153,614, 211,987.32 and 82,958

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Solution

The fourth proportional to 153,614, 211,987.32 and 82,958 is: 114,482.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,614 : 211,987.32 = 82,958 : x
  2. Step 2: Convert to fraction form
    153,614/211,987.32 = 82,958/x
  3. Step 3: Cross multiply
    153,614x = 211,987.32 × 82,958
  4. Step 4: Simplify right side
    153,614x = 17,586,044,092.56
  5. Step 5: Solve for x
    x = 17,586,044,092.56/153,614
  6. Step 6: Final answer
    x = 114,482.04

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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.