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Finding the Fourth Proportional to 190,084, 262,315.92 and 110,596

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Solution

The fourth proportional to 190,084, 262,315.92 and 110,596 is: 152,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,084 : 262,315.92 = 110,596 : x
  2. Step 2: Convert to fraction form
    190,084/262,315.92 = 110,596/x
  3. Step 3: Cross multiply
    190,084x = 262,315.92 × 110,596
  4. Step 4: Simplify right side
    190,084x = 29,011,091,488.32
  5. Step 5: Solve for x
    x = 29,011,091,488.32/190,084
  6. Step 6: Final answer
    x = 152,622.48

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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.