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Finding the Fourth Proportional to 103,193.46, 154,844.32 and 74,963.66

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Solution

The fourth proportional to 103,193.46, 154,844.32 and 74,963.66 is: 112,484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,193.46 : 154,844.32 = 74,963.66 : x
  2. Step 2: Convert to fraction form
    103,193.46/154,844.32 = 74,963.66/x
  3. Step 3: Cross multiply
    103,193.46x = 154,844.32 × 74,963.66
  4. Step 4: Simplify right side
    103,193.46x = 11,607,696,957.41
  5. Step 5: Solve for x
    x = 11,607,696,957.41/103,193.46
  6. Step 6: Final answer
    x = 112,484.81

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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.