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Finding the Fourth Proportional to 104,820.67, 156,748.12 and 77,853.92

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Solution

The fourth proportional to 104,820.67, 156,748.12 and 77,853.92 is: 116,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,820.67 : 156,748.12 = 77,853.92 : x
  2. Step 2: Convert to fraction form
    104,820.67/156,748.12 = 77,853.92/x
  3. Step 3: Cross multiply
    104,820.67x = 156,748.12 × 77,853.92
  4. Step 4: Simplify right side
    104,820.67x = 12,203,455,594.63
  5. Step 5: Solve for x
    x = 12,203,455,594.63/104,820.67
  6. Step 6: Final answer
    x = 116,422.22

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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.