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Finding the Fourth Proportional to 177,143.14, 244,463.40 and 105,513.40

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Solution

The fourth proportional to 177,143.14, 244,463.40 and 105,513.40 is: 145,611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,143.14 : 244,463.40 = 105,513.40 : x
  2. Step 2: Convert to fraction form
    177,143.14/244,463.40 = 105,513.40/x
  3. Step 3: Cross multiply
    177,143.14x = 244,463.40 × 105,513.40
  4. Step 4: Simplify right side
    177,143.14x = 25,794,164,509.56
  5. Step 5: Solve for x
    x = 25,794,164,509.56/177,143.14
  6. Step 6: Final answer
    x = 145,611.99

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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.