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Finding the Fourth Proportional to 101,400.48, 152,022.96 and 61,976.16

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Solution

The fourth proportional to 101,400.48, 152,022.96 and 61,976.16 is: 92,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,400.48 : 152,022.96 = 61,976.16 : x
  2. Step 2: Convert to fraction form
    101,400.48/152,022.96 = 61,976.16/x
  3. Step 3: Cross multiply
    101,400.48x = 152,022.96 × 61,976.16
  4. Step 4: Simplify right side
    101,400.48x = 9,421,799,292.63
  5. Step 5: Solve for x
    x = 9,421,799,292.63/101,400.48
  6. Step 6: Final answer
    x = 92,916.71

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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.