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Finding the Fourth Proportional to 109,274.64, 150,786.54 and 61,526.76

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Solution

The fourth proportional to 109,274.64, 150,786.54 and 61,526.76 is: 84,899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,274.64 : 150,786.54 = 61,526.76 : x
  2. Step 2: Convert to fraction form
    109,274.64/150,786.54 = 61,526.76/x
  3. Step 3: Cross multiply
    109,274.64x = 150,786.54 × 61,526.76
  4. Step 4: Simplify right side
    109,274.64x = 9,277,407,257.81
  5. Step 5: Solve for x
    x = 9,277,407,257.81/109,274.64
  6. Step 6: Final answer
    x = 84,899.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.