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Finding the Fourth Proportional to 150,200.48, 207,258 and 83,145.44

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Solution

The fourth proportional to 150,200.48, 207,258 and 83,145.44 is: 114,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,200.48 : 207,258 = 83,145.44 : x
  2. Step 2: Convert to fraction form
    150,200.48/207,258 = 83,145.44/x
  3. Step 3: Cross multiply
    150,200.48x = 207,258 × 83,145.44
  4. Step 4: Simplify right side
    150,200.48x = 17,232,557,603.52
  5. Step 5: Solve for x
    x = 17,232,557,603.52/150,200.48
  6. Step 6: Final answer
    x = 114,730.38

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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.