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Finding the Fourth Proportional to 233,963.82, 322,870.28 and 126,533.85

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Solution

The fourth proportional to 233,963.82, 322,870.28 and 126,533.85 is: 174,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,963.82 : 322,870.28 = 126,533.85 : x
  2. Step 2: Convert to fraction form
    233,963.82/322,870.28 = 126,533.85/x
  3. Step 3: Cross multiply
    233,963.82x = 322,870.28 × 126,533.85
  4. Step 4: Simplify right side
    233,963.82x = 40,854,018,946.31
  5. Step 5: Solve for x
    x = 40,854,018,946.31/233,963.82
  6. Step 6: Final answer
    x = 174,616.82

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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.