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Finding the Fourth Proportional to 194,692.32, 292,036.56 and 61,572.60

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Solution

The fourth proportional to 194,692.32, 292,036.56 and 61,572.60 is: 92,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,692.32 : 292,036.56 = 61,572.60 : x
  2. Step 2: Convert to fraction form
    194,692.32/292,036.56 = 61,572.60/x
  3. Step 3: Cross multiply
    194,692.32x = 292,036.56 × 61,572.60
  4. Step 4: Simplify right side
    194,692.32x = 17,981,450,294.26
  5. Step 5: Solve for x
    x = 17,981,450,294.26/194,692.32
  6. Step 6: Final answer
    x = 92,358.29

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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.