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Finding the Fourth Proportional to 195,322.84, 292,995.70 and 75,380.42

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Solution

The fourth proportional to 195,322.84, 292,995.70 and 75,380.42 is: 113,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,322.84 : 292,995.70 = 75,380.42 : x
  2. Step 2: Convert to fraction form
    195,322.84/292,995.70 = 75,380.42/x
  3. Step 3: Cross multiply
    195,322.84x = 292,995.70 × 75,380.42
  4. Step 4: Simplify right side
    195,322.84x = 22,086,138,924.19
  5. Step 5: Solve for x
    x = 22,086,138,924.19/195,322.84
  6. Step 6: Final answer
    x = 113,075.05

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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.