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Finding the Fourth Proportional to 159,364.21, 238,970.07 and 92,823.32

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Solution

The fourth proportional to 159,364.21, 238,970.07 and 92,823.32 is: 139,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,364.21 : 238,970.07 = 92,823.32 : x
  2. Step 2: Convert to fraction form
    159,364.21/238,970.07 = 92,823.32/x
  3. Step 3: Cross multiply
    159,364.21x = 238,970.07 × 92,823.32
  4. Step 4: Simplify right side
    159,364.21x = 22,181,995,278.03
  5. Step 5: Solve for x
    x = 22,181,995,278.03/159,364.21
  6. Step 6: Final answer
    x = 139,190.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.