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Finding the Fourth Proportional to 195,692.76, 270,065.34 and 110,808

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Solution

The fourth proportional to 195,692.76, 270,065.34 and 110,808 is: 152,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,692.76 : 270,065.34 = 110,808 : x
  2. Step 2: Convert to fraction form
    195,692.76/270,065.34 = 110,808/x
  3. Step 3: Cross multiply
    195,692.76x = 270,065.34 × 110,808
  4. Step 4: Simplify right side
    195,692.76x = 29,925,400,194.72
  5. Step 5: Solve for x
    x = 29,925,400,194.72/195,692.76
  6. Step 6: Final answer
    x = 152,920.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.