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Finding the Fourth Proportional to 233,539, 322,284.18 and 132,937

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Solution

The fourth proportional to 233,539, 322,284.18 and 132,937 is: 183,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,539 : 322,284.18 = 132,937 : x
  2. Step 2: Convert to fraction form
    233,539/322,284.18 = 132,937/x
  3. Step 3: Cross multiply
    233,539x = 322,284.18 × 132,937
  4. Step 4: Simplify right side
    233,539x = 42,843,492,036.66
  5. Step 5: Solve for x
    x = 42,843,492,036.66/233,539
  6. Step 6: Final answer
    x = 183,453.26

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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.