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Finding the Fourth Proportional to 150,703.32, 207,970.78 and 82,720.68

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Solution

The fourth proportional to 150,703.32, 207,970.78 and 82,720.68 is: 114,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,703.32 : 207,970.78 = 82,720.68 : x
  2. Step 2: Convert to fraction form
    150,703.32/207,970.78 = 82,720.68/x
  3. Step 3: Cross multiply
    150,703.32x = 207,970.78 × 82,720.68
  4. Step 4: Simplify right side
    150,703.32x = 17,203,484,341.73
  5. Step 5: Solve for x
    x = 17,203,484,341.73/150,703.32
  6. Step 6: Final answer
    x = 114,154.65

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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.