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Finding the Fourth Proportional to 152,891.76, 210,983.46 and 84,913.11

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Solution

The fourth proportional to 152,891.76, 210,983.46 and 84,913.11 is: 117,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,891.76 : 210,983.46 = 84,913.11 : x
  2. Step 2: Convert to fraction form
    152,891.76/210,983.46 = 84,913.11/x
  3. Step 3: Cross multiply
    152,891.76x = 210,983.46 × 84,913.11
  4. Step 4: Simplify right side
    152,891.76x = 17,915,261,747.16
  5. Step 5: Solve for x
    x = 17,915,261,747.16/152,891.76
  6. Step 6: Final answer
    x = 117,176.11

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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.