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Finding the Fourth Proportional to 147,563.94, 203,647.86 and 83,907.66

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Solution

The fourth proportional to 147,563.94, 203,647.86 and 83,907.66 is: 115,798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,563.94 : 203,647.86 = 83,907.66 : x
  2. Step 2: Convert to fraction form
    147,563.94/203,647.86 = 83,907.66/x
  3. Step 3: Cross multiply
    147,563.94x = 203,647.86 × 83,907.66
  4. Step 4: Simplify right side
    147,563.94x = 17,087,615,396.61
  5. Step 5: Solve for x
    x = 17,087,615,396.61/147,563.94
  6. Step 6: Final answer
    x = 115,798.04

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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.