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Finding the Fourth Proportional to 105,761.93, 158,783.67 and 61,420.50

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Solution

The fourth proportional to 105,761.93, 158,783.67 and 61,420.50 is: 92,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,761.93 : 158,783.67 = 61,420.50 : x
  2. Step 2: Convert to fraction form
    105,761.93/158,783.67 = 61,420.50/x
  3. Step 3: Cross multiply
    105,761.93x = 158,783.67 × 61,420.50
  4. Step 4: Simplify right side
    105,761.93x = 9,752,572,403.24
  5. Step 5: Solve for x
    x = 9,752,572,403.24/105,761.93
  6. Step 6: Final answer
    x = 92,212.51

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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.