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Finding the Fourth Proportional to 147,798.14, 203,962.24 and 80,730.14

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Solution

The fourth proportional to 147,798.14, 203,962.24 and 80,730.14 is: 111,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,798.14 : 203,962.24 = 80,730.14 : x
  2. Step 2: Convert to fraction form
    147,798.14/203,962.24 = 80,730.14/x
  3. Step 3: Cross multiply
    147,798.14x = 203,962.24 × 80,730.14
  4. Step 4: Simplify right side
    147,798.14x = 16,465,900,189.91
  5. Step 5: Solve for x
    x = 16,465,900,189.91/147,798.14
  6. Step 6: Final answer
    x = 111,408.03

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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.