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Finding the Fourth Proportional to 242,064.36, 334,025.42 and 140,069.48

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Solution

The fourth proportional to 242,064.36, 334,025.42 and 140,069.48 is: 193,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,064.36 : 334,025.42 = 140,069.48 : x
  2. Step 2: Convert to fraction form
    242,064.36/334,025.42 = 140,069.48/x
  3. Step 3: Cross multiply
    242,064.36x = 334,025.42 × 140,069.48
  4. Step 4: Simplify right side
    242,064.36x = 46,786,764,515.71
  5. Step 5: Solve for x
    x = 46,786,764,515.71/242,064.36
  6. Step 6: Final answer
    x = 193,282.33

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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.