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Finding the Fourth Proportional to 233,536, 322,280.96 and 127,552

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Solution

The fourth proportional to 233,536, 322,280.96 and 127,552 is: 176,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,536 : 322,280.96 = 127,552 : x
  2. Step 2: Convert to fraction form
    233,536/322,280.96 = 127,552/x
  3. Step 3: Cross multiply
    233,536x = 322,280.96 × 127,552
  4. Step 4: Simplify right side
    233,536x = 41,107,581,009.92
  5. Step 5: Solve for x
    x = 41,107,581,009.92/233,536
  6. Step 6: Final answer
    x = 176,022.46

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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.