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Finding the Fourth Proportional to 109,856.70, 164,752.65 and 43,274.70

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Solution

The fourth proportional to 109,856.70, 164,752.65 and 43,274.70 is: 64,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,856.70 : 164,752.65 = 43,274.70 : x
  2. Step 2: Convert to fraction form
    109,856.70/164,752.65 = 43,274.70/x
  3. Step 3: Cross multiply
    109,856.70x = 164,752.65 × 43,274.70
  4. Step 4: Simplify right side
    109,856.70x = 7,129,621,502.96
  5. Step 5: Solve for x
    x = 7,129,621,502.96/109,856.70
  6. Step 6: Final answer
    x = 64,899.29

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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.