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Finding the Fourth Proportional to 105,142.40, 157,713.60 and 75,497.60

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Solution

The fourth proportional to 105,142.40, 157,713.60 and 75,497.60 is: 113,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,142.40 : 157,713.60 = 75,497.60 : x
  2. Step 2: Convert to fraction form
    105,142.40/157,713.60 = 75,497.60/x
  3. Step 3: Cross multiply
    105,142.40x = 157,713.60 × 75,497.60
  4. Step 4: Simplify right side
    105,142.40x = 11,906,998,287.36
  5. Step 5: Solve for x
    x = 11,906,998,287.36/105,142.40
  6. Step 6: Final answer
    x = 113,246.40

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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.