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Finding the Fourth Proportional to 190,114.40, 285,065.40 and 77,872.88

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Solution

The fourth proportional to 190,114.40, 285,065.40 and 77,872.88 is: 116,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,114.40 : 285,065.40 = 77,872.88 : x
  2. Step 2: Convert to fraction form
    190,114.40/285,065.40 = 77,872.88/x
  3. Step 3: Cross multiply
    190,114.40x = 285,065.40 × 77,872.88
  4. Step 4: Simplify right side
    190,114.40x = 22,198,863,686.35
  5. Step 5: Solve for x
    x = 22,198,863,686.35/190,114.40
  6. Step 6: Final answer
    x = 116,765.82

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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.