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Finding the Fourth Proportional to 122,297.76, 183,172.72 and 106,297.76

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Solution

The fourth proportional to 122,297.76, 183,172.72 and 106,297.76 is: 159,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,297.76 : 183,172.72 = 106,297.76 : x
  2. Step 2: Convert to fraction form
    122,297.76/183,172.72 = 106,297.76/x
  3. Step 3: Cross multiply
    122,297.76x = 183,172.72 × 106,297.76
  4. Step 4: Simplify right side
    122,297.76x = 19,470,849,829.11
  5. Step 5: Solve for x
    x = 19,470,849,829.11/122,297.76
  6. Step 6: Final answer
    x = 159,208.56

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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.