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Finding the Fourth Proportional to 104,127, 156,194.82 and 30,255

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Solution

The fourth proportional to 104,127, 156,194.82 and 30,255 is: 45,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,127 : 156,194.82 = 30,255 : x
  2. Step 2: Convert to fraction form
    104,127/156,194.82 = 30,255/x
  3. Step 3: Cross multiply
    104,127x = 156,194.82 × 30,255
  4. Step 4: Simplify right side
    104,127x = 4,725,674,279.10
  5. Step 5: Solve for x
    x = 4,725,674,279.10/104,127
  6. Step 6: Final answer
    x = 45,383.76

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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.