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Finding the Fourth Proportional to 194,963.76, 292,445.62 and 106,291.83

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Solution

The fourth proportional to 194,963.76, 292,445.62 and 106,291.83 is: 159,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,963.76 : 292,445.62 = 106,291.83 : x
  2. Step 2: Convert to fraction form
    194,963.76/292,445.62 = 106,291.83/x
  3. Step 3: Cross multiply
    194,963.76x = 292,445.62 × 106,291.83
  4. Step 4: Simplify right side
    194,963.76x = 31,084,578,131.60
  5. Step 5: Solve for x
    x = 31,084,578,131.60/194,963.76
  6. Step 6: Final answer
    x = 159,437.73

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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.