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Finding the Fourth Proportional to 122,796, 169,458.48 and 69,804

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Solution

The fourth proportional to 122,796, 169,458.48 and 69,804 is: 96,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,796 : 169,458.48 = 69,804 : x
  2. Step 2: Convert to fraction form
    122,796/169,458.48 = 69,804/x
  3. Step 3: Cross multiply
    122,796x = 169,458.48 × 69,804
  4. Step 4: Simplify right side
    122,796x = 11,828,879,737.92
  5. Step 5: Solve for x
    x = 11,828,879,737.92/122,796
  6. Step 6: Final answer
    x = 96,329.52

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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.