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Finding the Fourth Proportional to 104,830, 144,661.06 and 57,083.24

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Solution

The fourth proportional to 104,830, 144,661.06 and 57,083.24 is: 78,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,830 : 144,661.06 = 57,083.24 : x
  2. Step 2: Convert to fraction form
    104,830/144,661.06 = 57,083.24/x
  3. Step 3: Cross multiply
    104,830x = 144,661.06 × 57,083.24
  4. Step 4: Simplify right side
    104,830x = 8,257,722,006.63
  5. Step 5: Solve for x
    x = 8,257,722,006.63/104,830
  6. Step 6: Final answer
    x = 78,772.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.