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Finding the Fourth Proportional to 162,643.04, 244,243.76 and 99,832

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Solution

The fourth proportional to 162,643.04, 244,243.76 and 99,832 is: 149,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,643.04 : 244,243.76 = 99,832 : x
  2. Step 2: Convert to fraction form
    162,643.04/244,243.76 = 99,832/x
  3. Step 3: Cross multiply
    162,643.04x = 244,243.76 × 99,832
  4. Step 4: Simplify right side
    162,643.04x = 24,383,343,048.32
  5. Step 5: Solve for x
    x = 24,383,343,048.32/162,643.04
  6. Step 6: Final answer
    x = 149,919.38

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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.