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Finding the Fourth Proportional to 109,471.40, 164,207.10 and 105,097.40

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Solution

The fourth proportional to 109,471.40, 164,207.10 and 105,097.40 is: 157,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,471.40 : 164,207.10 = 105,097.40 : x
  2. Step 2: Convert to fraction form
    109,471.40/164,207.10 = 105,097.40/x
  3. Step 3: Cross multiply
    109,471.40x = 164,207.10 × 105,097.40
  4. Step 4: Simplify right side
    109,471.40x = 17,257,739,271.54
  5. Step 5: Solve for x
    x = 17,257,739,271.54/109,471.40
  6. Step 6: Final answer
    x = 157,646.10

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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.