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Finding the Fourth Proportional to 122,518.97, 183,803.97 and 38,275.73

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Solution

The fourth proportional to 122,518.97, 183,803.97 and 38,275.73 is: 57,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,518.97 : 183,803.97 = 38,275.73 : x
  2. Step 2: Convert to fraction form
    122,518.97/183,803.97 = 38,275.73/x
  3. Step 3: Cross multiply
    122,518.97x = 183,803.97 × 38,275.73
  4. Step 4: Simplify right side
    122,518.97x = 7,035,231,588.16
  5. Step 5: Solve for x
    x = 7,035,231,588.16/122,518.97
  6. Step 6: Final answer
    x = 57,421.57

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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.