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Finding the Fourth Proportional to 195,668.34, 293,506.92 and 110,822.22

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Solution

The fourth proportional to 195,668.34, 293,506.92 and 110,822.22 is: 166,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,668.34 : 293,506.92 = 110,822.22 : x
  2. Step 2: Convert to fraction form
    195,668.34/293,506.92 = 110,822.22/x
  3. Step 3: Cross multiply
    195,668.34x = 293,506.92 × 110,822.22
  4. Step 4: Simplify right side
    195,668.34x = 32,527,088,459.76
  5. Step 5: Solve for x
    x = 32,527,088,459.76/195,668.34
  6. Step 6: Final answer
    x = 166,235.83

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1.5x scale

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.