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Finding the Fourth Proportional to 147,080.94, 220,643.28 and 68,203.14

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Solution

The fourth proportional to 147,080.94, 220,643.28 and 68,203.14 is: 102,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,080.94 : 220,643.28 = 68,203.14 : x
  2. Step 2: Convert to fraction form
    147,080.94/220,643.28 = 68,203.14/x
  3. Step 3: Cross multiply
    147,080.94x = 220,643.28 × 68,203.14
  4. Step 4: Simplify right side
    147,080.94x = 15,048,564,515.90
  5. Step 5: Solve for x
    x = 15,048,564,515.90/147,080.94
  6. Step 6: Final answer
    x = 102,314.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.