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Finding the Fourth Proportional to 194,796.48, 292,155.84 and 61,654.08

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Solution

The fourth proportional to 194,796.48, 292,155.84 and 61,654.08 is: 92,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,796.48 : 292,155.84 = 61,654.08 : x
  2. Step 2: Convert to fraction form
    194,796.48/292,155.84 = 61,654.08/x
  3. Step 3: Cross multiply
    194,796.48x = 292,155.84 × 61,654.08
  4. Step 4: Simplify right side
    194,796.48x = 18,012,599,531.83
  5. Step 5: Solve for x
    x = 18,012,599,531.83/194,796.48
  6. Step 6: Final answer
    x = 92,468.81

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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.