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Finding the Fourth Proportional to 196,159.95, 270,692.55 and 111,293.01

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Solution

The fourth proportional to 196,159.95, 270,692.55 and 111,293.01 is: 153,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,159.95 : 270,692.55 = 111,293.01 : x
  2. Step 2: Convert to fraction form
    196,159.95/270,692.55 = 111,293.01/x
  3. Step 3: Cross multiply
    196,159.95x = 270,692.55 × 111,293.01
  4. Step 4: Simplify right side
    196,159.95x = 30,126,188,674.08
  5. Step 5: Solve for x
    x = 30,126,188,674.08/196,159.95
  6. Step 6: Final answer
    x = 153,579.71

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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.