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Finding the Fourth Proportional to 195,858.84, 293,752.89 and 89,218.02

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Solution

The fourth proportional to 195,858.84, 293,752.89 and 89,218.02 is: 133,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,858.84 : 293,752.89 = 89,218.02 : x
  2. Step 2: Convert to fraction form
    195,858.84/293,752.89 = 89,218.02/x
  3. Step 3: Cross multiply
    195,858.84x = 293,752.89 × 89,218.02
  4. Step 4: Simplify right side
    195,858.84x = 26,208,051,215.08
  5. Step 5: Solve for x
    x = 26,208,051,215.08/195,858.84
  6. Step 6: Final answer
    x = 133,810.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.