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Finding the Fourth Proportional to 150,150, 207,210.24 and 86,477.52

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Solution

The fourth proportional to 150,150, 207,210.24 and 86,477.52 is: 119,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,150 : 207,210.24 = 86,477.52 : x
  2. Step 2: Convert to fraction form
    150,150/207,210.24 = 86,477.52/x
  3. Step 3: Cross multiply
    150,150x = 207,210.24 × 86,477.52
  4. Step 4: Simplify right side
    150,150x = 17,919,027,673.80
  5. Step 5: Solve for x
    x = 17,919,027,673.80/150,150
  6. Step 6: Final answer
    x = 119,340.84

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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.