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Finding the Fourth Proportional to 194,813.78, 292,209.73 and 52,656.95

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Solution

The fourth proportional to 194,813.78, 292,209.73 and 52,656.95 is: 78,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,813.78 : 292,209.73 = 52,656.95 : x
  2. Step 2: Convert to fraction form
    194,813.78/292,209.73 = 52,656.95/x
  3. Step 3: Cross multiply
    194,813.78x = 292,209.73 × 52,656.95
  4. Step 4: Simplify right side
    194,813.78x = 15,386,873,741.01
  5. Step 5: Solve for x
    x = 15,386,873,741.01/194,813.78
  6. Step 6: Final answer
    x = 78,982.47

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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.