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Finding the Fourth Proportional to 159,364.71, 238,970.82 and 92,823.82

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Solution

The fourth proportional to 159,364.71, 238,970.82 and 92,823.82 is: 139,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,364.71 : 238,970.82 = 92,823.82 : x
  2. Step 2: Convert to fraction form
    159,364.71/238,970.82 = 92,823.82/x
  3. Step 3: Cross multiply
    159,364.71x = 238,970.82 × 92,823.82
  4. Step 4: Simplify right side
    159,364.71x = 22,182,184,380.93
  5. Step 5: Solve for x
    x = 22,182,184,380.93/159,364.71
  6. Step 6: Final answer
    x = 139,191.32

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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.