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Finding the Fourth Proportional to 104,941.92, 157,442.16 and 45,782.88

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Solution

The fourth proportional to 104,941.92, 157,442.16 and 45,782.88 is: 68,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,941.92 : 157,442.16 = 45,782.88 : x
  2. Step 2: Convert to fraction form
    104,941.92/157,442.16 = 45,782.88/x
  3. Step 3: Cross multiply
    104,941.92x = 157,442.16 × 45,782.88
  4. Step 4: Simplify right side
    104,941.92x = 7,208,155,518.22
  5. Step 5: Solve for x
    x = 7,208,155,518.22/104,941.92
  6. Step 6: Final answer
    x = 68,687.09

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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.