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Finding the Fourth Proportional to 109,409.70, 164,114.55 and 93,663.30

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Solution

The fourth proportional to 109,409.70, 164,114.55 and 93,663.30 is: 140,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409.70 : 164,114.55 = 93,663.30 : x
  2. Step 2: Convert to fraction form
    109,409.70/164,114.55 = 93,663.30/x
  3. Step 3: Cross multiply
    109,409.70x = 164,114.55 × 93,663.30
  4. Step 4: Simplify right side
    109,409.70x = 15,371,510,331.02
  5. Step 5: Solve for x
    x = 15,371,510,331.02/109,409.70
  6. Step 6: Final answer
    x = 140,494.95

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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.