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Finding the Fourth Proportional to 104,714.95, 157,163.12 and 54,829.93

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Solution

The fourth proportional to 104,714.95, 157,163.12 and 54,829.93 is: 82,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,714.95 : 157,163.12 = 54,829.93 : x
  2. Step 2: Convert to fraction form
    104,714.95/157,163.12 = 54,829.93/x
  3. Step 3: Cross multiply
    104,714.95x = 157,163.12 × 54,829.93
  4. Step 4: Simplify right side
    104,714.95x = 8,617,242,868.18
  5. Step 5: Solve for x
    x = 8,617,242,868.18/104,714.95
  6. Step 6: Final answer
    x = 82,292.38

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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.