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Finding the Fourth Proportional to 150,597.35, 207,822.41 and 86,065.86

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Solution

The fourth proportional to 150,597.35, 207,822.41 and 86,065.86 is: 118,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,597.35 : 207,822.41 = 86,065.86 : x
  2. Step 2: Convert to fraction form
    150,597.35/207,822.41 = 86,065.86/x
  3. Step 3: Cross multiply
    150,597.35x = 207,822.41 × 86,065.86
  4. Step 4: Simplify right side
    150,597.35x = 17,886,415,115.67
  5. Step 5: Solve for x
    x = 17,886,415,115.67/150,597.35
  6. Step 6: Final answer
    x = 118,769.79

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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.