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Finding the Fourth Proportional to 109,966.70, 164,917.65 and 43,384.70

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Solution

The fourth proportional to 109,966.70, 164,917.65 and 43,384.70 is: 65,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,966.70 : 164,917.65 = 43,384.70 : x
  2. Step 2: Convert to fraction form
    109,966.70/164,917.65 = 43,384.70/x
  3. Step 3: Cross multiply
    109,966.70x = 164,917.65 × 43,384.70
  4. Step 4: Simplify right side
    109,966.70x = 7,154,902,769.96
  5. Step 5: Solve for x
    x = 7,154,902,769.96/109,966.70
  6. Step 6: Final answer
    x = 65,064.27

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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.