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Finding the Fourth Proportional to 147,643.46, 203,759.26 and 83,977.46

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Solution

The fourth proportional to 147,643.46, 203,759.26 and 83,977.46 is: 115,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,643.46 : 203,759.26 = 83,977.46 : x
  2. Step 2: Convert to fraction form
    147,643.46/203,759.26 = 83,977.46/x
  3. Step 3: Cross multiply
    147,643.46x = 203,759.26 × 83,977.46
  4. Step 4: Simplify right side
    147,643.46x = 17,111,185,106.28
  5. Step 5: Solve for x
    x = 17,111,185,106.28/147,643.46
  6. Step 6: Final answer
    x = 115,895.31

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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.