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Finding the Fourth Proportional to 152,952.14, 211,081.02 and 84,969.20

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Solution

The fourth proportional to 152,952.14, 211,081.02 and 84,969.20 is: 117,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,952.14 : 211,081.02 = 84,969.20 : x
  2. Step 2: Convert to fraction form
    152,952.14/211,081.02 = 84,969.20/x
  3. Step 3: Cross multiply
    152,952.14x = 211,081.02 × 84,969.20
  4. Step 4: Simplify right side
    152,952.14x = 17,935,385,404.58
  5. Step 5: Solve for x
    x = 17,935,385,404.58/152,952.14
  6. Step 6: Final answer
    x = 117,261.42

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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.