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Finding the Fourth Proportional to 233,525, 322,264.86 and 132,923

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Solution

The fourth proportional to 233,525, 322,264.86 and 132,923 is: 183,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,525 : 322,264.86 = 132,923 : x
  2. Step 2: Convert to fraction form
    233,525/322,264.86 = 132,923/x
  3. Step 3: Cross multiply
    233,525x = 322,264.86 × 132,923
  4. Step 4: Simplify right side
    233,525x = 42,836,411,985.78
  5. Step 5: Solve for x
    x = 42,836,411,985.78/233,525
  6. Step 6: Final answer
    x = 183,433.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.