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Finding the Fourth Proportional to 147,403.49, 203,422.25 and 83,752.07

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Solution

The fourth proportional to 147,403.49, 203,422.25 and 83,752.07 is: 115,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,403.49 : 203,422.25 = 83,752.07 : x
  2. Step 2: Convert to fraction form
    147,403.49/203,422.25 = 83,752.07/x
  3. Step 3: Cross multiply
    147,403.49x = 203,422.25 × 83,752.07
  4. Step 4: Simplify right side
    147,403.49x = 17,037,033,713.83
  5. Step 5: Solve for x
    x = 17,037,033,713.83/147,403.49
  6. Step 6: Final answer
    x = 115,580.94

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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.