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Finding the Fourth Proportional to 166,566, 229,971.96 and 98,604.84

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Solution

The fourth proportional to 166,566, 229,971.96 and 98,604.84 is: 136,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,566 : 229,971.96 = 98,604.84 : x
  2. Step 2: Convert to fraction form
    166,566/229,971.96 = 98,604.84/x
  3. Step 3: Cross multiply
    166,566x = 229,971.96 × 98,604.84
  4. Step 4: Simplify right side
    166,566x = 22,676,348,320.29
  5. Step 5: Solve for x
    x = 22,676,348,320.29/166,566
  6. Step 6: Final answer
    x = 136,140.32

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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.