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Finding the Fourth Proportional to 109,752.56, 164,628.84 and 43,156.30

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Solution

The fourth proportional to 109,752.56, 164,628.84 and 43,156.30 is: 64,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,752.56 : 164,628.84 = 43,156.30 : x
  2. Step 2: Convert to fraction form
    109,752.56/164,628.84 = 43,156.30/x
  3. Step 3: Cross multiply
    109,752.56x = 164,628.84 × 43,156.30
  4. Step 4: Simplify right side
    109,752.56x = 7,104,771,607.69
  5. Step 5: Solve for x
    x = 7,104,771,607.69/109,752.56
  6. Step 6: Final answer
    x = 64,734.45

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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.