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Finding the Fourth Proportional to 150,258.42, 207,370.53 and 83,190.42

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Solution

The fourth proportional to 150,258.42, 207,370.53 and 83,190.42 is: 114,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,258.42 : 207,370.53 = 83,190.42 : x
  2. Step 2: Convert to fraction form
    150,258.42/207,370.53 = 83,190.42/x
  3. Step 3: Cross multiply
    150,258.42x = 207,370.53 × 83,190.42
  4. Step 4: Simplify right side
    150,258.42x = 17,251,241,486.32
  5. Step 5: Solve for x
    x = 17,251,241,486.32/150,258.42
  6. Step 6: Final answer
    x = 114,810.48

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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.