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Finding the Fourth Proportional to 122,536.48, 183,674.04 and 69,832.48

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Solution

The fourth proportional to 122,536.48, 183,674.04 and 69,832.48 is: 104,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,536.48 : 183,674.04 = 69,832.48 : x
  2. Step 2: Convert to fraction form
    122,536.48/183,674.04 = 69,832.48/x
  3. Step 3: Cross multiply
    122,536.48x = 183,674.04 × 69,832.48
  4. Step 4: Simplify right side
    122,536.48x = 12,826,413,724.82
  5. Step 5: Solve for x
    x = 12,826,413,724.82/122,536.48
  6. Step 6: Final answer
    x = 104,674.25

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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.