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Finding the Fourth Proportional to 122,558.83, 183,838.38 and 38,319.44

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Solution

The fourth proportional to 122,558.83, 183,838.38 and 38,319.44 is: 57,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,558.83 : 183,838.38 = 38,319.44 : x
  2. Step 2: Convert to fraction form
    122,558.83/183,838.38 = 38,319.44/x
  3. Step 3: Cross multiply
    122,558.83x = 183,838.38 × 38,319.44
  4. Step 4: Simplify right side
    122,558.83x = 7,044,582,852.92
  5. Step 5: Solve for x
    x = 7,044,582,852.92/122,558.83
  6. Step 6: Final answer
    x = 57,479.20

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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.