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Finding the Fourth Proportional to 186,229.02, 256,978.27 and 104,538.58

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Solution

The fourth proportional to 186,229.02, 256,978.27 and 104,538.58 is: 144,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,229.02 : 256,978.27 = 104,538.58 : x
  2. Step 2: Convert to fraction form
    186,229.02/256,978.27 = 104,538.58/x
  3. Step 3: Cross multiply
    186,229.02x = 256,978.27 × 104,538.58
  4. Step 4: Simplify right side
    186,229.02x = 26,864,143,436.66
  5. Step 5: Solve for x
    x = 26,864,143,436.66/186,229.02
  6. Step 6: Final answer
    x = 144,253.26

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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.