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Finding the Fourth Proportional to 147,326.90, 203,314.01 and 83,664.95

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Solution

The fourth proportional to 147,326.90, 203,314.01 and 83,664.95 is: 115,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,326.90 : 203,314.01 = 83,664.95 : x
  2. Step 2: Convert to fraction form
    147,326.90/203,314.01 = 83,664.95/x
  3. Step 3: Cross multiply
    147,326.90x = 203,314.01 × 83,664.95
  4. Step 4: Simplify right side
    147,326.90x = 17,010,255,046.05
  5. Step 5: Solve for x
    x = 17,010,255,046.05/147,326.90
  6. Step 6: Final answer
    x = 115,459.27

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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.