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Finding the Fourth Proportional to 109,460.70, 164,178.90 and 89,704.80

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Solution

The fourth proportional to 109,460.70, 164,178.90 and 89,704.80 is: 134,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,460.70 : 164,178.90 = 89,704.80 : x
  2. Step 2: Convert to fraction form
    109,460.70/164,178.90 = 89,704.80/x
  3. Step 3: Cross multiply
    109,460.70x = 164,178.90 × 89,704.80
  4. Step 4: Simplify right side
    109,460.70x = 14,727,635,388.72
  5. Step 5: Solve for x
    x = 14,727,635,388.72/109,460.70
  6. Step 6: Final answer
    x = 134,547.24

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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.