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Finding the Fourth Proportional to 97,238.63, 134,189.31 and 54,798.68

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Solution

The fourth proportional to 97,238.63, 134,189.31 and 54,798.68 is: 75,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,238.63 : 134,189.31 = 54,798.68 : x
  2. Step 2: Convert to fraction form
    97,238.63/134,189.31 = 54,798.68/x
  3. Step 3: Cross multiply
    97,238.63x = 134,189.31 × 54,798.68
  4. Step 4: Simplify right side
    97,238.63x = 7,353,396,387.16
  5. Step 5: Solve for x
    x = 7,353,396,387.16/97,238.63
  6. Step 6: Final answer
    x = 75,622.18

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1.5x scale

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.