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Finding the Fourth Proportional to 165,809.42, 248,766.71 and 59,191.03

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Solution

The fourth proportional to 165,809.42, 248,766.71 and 59,191.03 is: 88,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,809.42 : 248,766.71 = 59,191.03 : x
  2. Step 2: Convert to fraction form
    165,809.42/248,766.71 = 59,191.03/x
  3. Step 3: Cross multiply
    165,809.42x = 248,766.71 × 59,191.03
  4. Step 4: Simplify right side
    165,809.42x = 14,724,756,876.74
  5. Step 5: Solve for x
    x = 14,724,756,876.74/165,809.42
  6. Step 6: Final answer
    x = 88,805.31

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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.