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Finding the Fourth Proportional to 104,862.83, 157,138.72 and 77,024.75

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Solution

The fourth proportional to 104,862.83, 157,138.72 and 77,024.75 is: 115,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,862.83 : 157,138.72 = 77,024.75 : x
  2. Step 2: Convert to fraction form
    104,862.83/157,138.72 = 77,024.75/x
  3. Step 3: Cross multiply
    104,862.83x = 157,138.72 × 77,024.75
  4. Step 4: Simplify right side
    104,862.83x = 12,103,570,623.32
  5. Step 5: Solve for x
    x = 12,103,570,623.32/104,862.83
  6. Step 6: Final answer
    x = 115,422.89

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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.