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Finding the Fourth Proportional to 192,460.78, 288,702.96 and 74,132.47

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Solution

The fourth proportional to 192,460.78, 288,702.96 and 74,132.47 is: 111,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,460.78 : 288,702.96 = 74,132.47 : x
  2. Step 2: Convert to fraction form
    192,460.78/288,702.96 = 74,132.47/x
  3. Step 3: Cross multiply
    192,460.78x = 288,702.96 × 74,132.47
  4. Step 4: Simplify right side
    192,460.78x = 21,402,263,521.11
  5. Step 5: Solve for x
    x = 21,402,263,521.11/192,460.78
  6. Step 6: Final answer
    x = 111,203.25

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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.