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Finding the Fourth Proportional to 109,331.42, 164,020.13 and 61,969.20

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Solution

The fourth proportional to 109,331.42, 164,020.13 and 61,969.20 is: 92,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,331.42 : 164,020.13 = 61,969.20 : x
  2. Step 2: Convert to fraction form
    109,331.42/164,020.13 = 61,969.20/x
  3. Step 3: Cross multiply
    109,331.42x = 164,020.13 × 61,969.20
  4. Step 4: Simplify right side
    109,331.42x = 10,164,195,547.46
  5. Step 5: Solve for x
    x = 10,164,195,547.46/109,331.42
  6. Step 6: Final answer
    x = 92,966.83

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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.