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Finding the Fourth Proportional to 117,224.64, 175,638.24 and 83,774.88

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Solution

The fourth proportional to 117,224.64, 175,638.24 and 83,774.88 is: 125,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,224.64 : 175,638.24 = 83,774.88 : x
  2. Step 2: Convert to fraction form
    117,224.64/175,638.24 = 83,774.88/x
  3. Step 3: Cross multiply
    117,224.64x = 175,638.24 × 83,774.88
  4. Step 4: Simplify right side
    117,224.64x = 14,714,072,479.41
  5. Step 5: Solve for x
    x = 14,714,072,479.41/117,224.64
  6. Step 6: Final answer
    x = 125,520.30

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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.