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Finding the Fourth Proportional to 105,048.80, 157,726.80 and 74,021.60

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Solution

The fourth proportional to 105,048.80, 157,726.80 and 74,021.60 is: 111,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,048.80 : 157,726.80 = 74,021.60 : x
  2. Step 2: Convert to fraction form
    105,048.80/157,726.80 = 74,021.60/x
  3. Step 3: Cross multiply
    105,048.80x = 157,726.80 × 74,021.60
  4. Step 4: Simplify right side
    105,048.80x = 11,675,190,098.88
  5. Step 5: Solve for x
    x = 11,675,190,098.88/105,048.80
  6. Step 6: Final answer
    x = 111,140.63

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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.