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Finding the Fourth Proportional to 233,363.66, 322,048.35 and 142,718

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Solution

The fourth proportional to 233,363.66, 322,048.35 and 142,718 is: 196,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,363.66 : 322,048.35 = 142,718 : x
  2. Step 2: Convert to fraction form
    233,363.66/322,048.35 = 142,718/x
  3. Step 3: Cross multiply
    233,363.66x = 322,048.35 × 142,718
  4. Step 4: Simplify right side
    233,363.66x = 45,962,096,415.30
  5. Step 5: Solve for x
    x = 45,962,096,415.30/233,363.66
  6. Step 6: Final answer
    x = 196,954.81

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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.