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Finding the Fourth Proportional to 291,277.08, 402,086.25 and 195,839.10

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Solution

The fourth proportional to 291,277.08, 402,086.25 and 195,839.10 is: 270,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,277.08 : 402,086.25 = 195,839.10 : x
  2. Step 2: Convert to fraction form
    291,277.08/402,086.25 = 195,839.10/x
  3. Step 3: Cross multiply
    291,277.08x = 402,086.25 × 195,839.10
  4. Step 4: Simplify right side
    291,277.08x = 78,744,209,322.38
  5. Step 5: Solve for x
    x = 78,744,209,322.38/291,277.08
  6. Step 6: Final answer
    x = 270,341.25

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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.