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Finding the Fourth Proportional to 137,644.92, 189,748.90 and 97,287.48

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Solution

The fourth proportional to 137,644.92, 189,748.90 and 97,287.48 is: 134,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,644.92 : 189,748.90 = 97,287.48 : x
  2. Step 2: Convert to fraction form
    137,644.92/189,748.90 = 97,287.48/x
  3. Step 3: Cross multiply
    137,644.92x = 189,748.90 × 97,287.48
  4. Step 4: Simplify right side
    137,644.92x = 18,460,192,313.77
  5. Step 5: Solve for x
    x = 18,460,192,313.77/137,644.92
  6. Step 6: Final answer
    x = 134,114.59

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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.