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Finding the Fourth Proportional to 105,201.99, 157,828.50 and 35,086.77

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Solution

The fourth proportional to 105,201.99, 157,828.50 and 35,086.77 is: 52,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,201.99 : 157,828.50 = 35,086.77 : x
  2. Step 2: Convert to fraction form
    105,201.99/157,828.50 = 35,086.77/x
  3. Step 3: Cross multiply
    105,201.99x = 157,828.50 × 35,086.77
  4. Step 4: Simplify right side
    105,201.99x = 5,537,692,278.95
  5. Step 5: Solve for x
    x = 5,537,692,278.95/105,201.99
  6. Step 6: Final answer
    x = 52,638.66

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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.