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Finding the Fourth Proportional to 150,406.12, 207,568.74 and 83,336.68

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Solution

The fourth proportional to 150,406.12, 207,568.74 and 83,336.68 is: 115,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,406.12 : 207,568.74 = 83,336.68 : x
  2. Step 2: Convert to fraction form
    150,406.12/207,568.74 = 83,336.68/x
  3. Step 3: Cross multiply
    150,406.12x = 207,568.74 × 83,336.68
  4. Step 4: Simplify right side
    150,406.12x = 17,298,089,663.38
  5. Step 5: Solve for x
    x = 17,298,089,663.38/150,406.12
  6. Step 6: Final answer
    x = 115,009.21

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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.