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Finding the Fourth Proportional to 109,930.60, 164,895.90 and 70,564.60

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Solution

The fourth proportional to 109,930.60, 164,895.90 and 70,564.60 is: 105,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,930.60 : 164,895.90 = 70,564.60 : x
  2. Step 2: Convert to fraction form
    109,930.60/164,895.90 = 70,564.60/x
  3. Step 3: Cross multiply
    109,930.60x = 164,895.90 × 70,564.60
  4. Step 4: Simplify right side
    109,930.60x = 11,635,813,225.14
  5. Step 5: Solve for x
    x = 11,635,813,225.14/109,930.60
  6. Step 6: Final answer
    x = 105,846.90

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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.