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Finding the Fourth Proportional to 150,693.84, 207,975.24 and 83,630.16

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Solution

The fourth proportional to 150,693.84, 207,975.24 and 83,630.16 is: 115,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,693.84 : 207,975.24 = 83,630.16 : x
  2. Step 2: Convert to fraction form
    150,693.84/207,975.24 = 83,630.16/x
  3. Step 3: Cross multiply
    150,693.84x = 207,975.24 × 83,630.16
  4. Step 4: Simplify right side
    150,693.84x = 17,393,002,597.24
  5. Step 5: Solve for x
    x = 17,393,002,597.24/150,693.84
  6. Step 6: Final answer
    x = 115,419.47

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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.