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Finding the Fourth Proportional to 125,219.94, 172,821.23 and 77,488.66

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Solution

The fourth proportional to 125,219.94, 172,821.23 and 77,488.66 is: 106,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,219.94 : 172,821.23 = 77,488.66 : x
  2. Step 2: Convert to fraction form
    125,219.94/172,821.23 = 77,488.66/x
  3. Step 3: Cross multiply
    125,219.94x = 172,821.23 × 77,488.66
  4. Step 4: Simplify right side
    125,219.94x = 13,391,685,532.25
  5. Step 5: Solve for x
    x = 13,391,685,532.25/125,219.94
  6. Step 6: Final answer
    x = 106,945.31

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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.