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Finding the Fourth Proportional to 109,438.76, 164,188.22 and 92,915.98

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Solution

The fourth proportional to 109,438.76, 164,188.22 and 92,915.98 is: 139,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,438.76 : 164,188.22 = 92,915.98 : x
  2. Step 2: Convert to fraction form
    109,438.76/164,188.22 = 92,915.98/x
  3. Step 3: Cross multiply
    109,438.76x = 164,188.22 × 92,915.98
  4. Step 4: Simplify right side
    109,438.76x = 15,255,708,490.71
  5. Step 5: Solve for x
    x = 15,255,708,490.71/109,438.76
  6. Step 6: Final answer
    x = 139,399.50

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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.