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Finding the Fourth Proportional to 150,277.60, 207,383.08 and 83,209.60

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Solution

The fourth proportional to 150,277.60, 207,383.08 and 83,209.60 is: 114,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,277.60 : 207,383.08 = 83,209.60 : x
  2. Step 2: Convert to fraction form
    150,277.60/207,383.08 = 83,209.60/x
  3. Step 3: Cross multiply
    150,277.60x = 207,383.08 × 83,209.60
  4. Step 4: Simplify right side
    150,277.60x = 17,256,263,133.57
  5. Step 5: Solve for x
    x = 17,256,263,133.57/150,277.60
  6. Step 6: Final answer
    x = 114,829.24

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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.