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Finding the Fourth Proportional to 369,194.30, 553,884.85 and 102,954.84

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Solution

The fourth proportional to 369,194.30, 553,884.85 and 102,954.84 is: 154,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,194.30 : 553,884.85 = 102,954.84 : x
  2. Step 2: Convert to fraction form
    369,194.30/553,884.85 = 102,954.84/x
  3. Step 3: Cross multiply
    369,194.30x = 553,884.85 × 102,954.84
  4. Step 4: Simplify right side
    369,194.30x = 57,025,126,110.17
  5. Step 5: Solve for x
    x = 57,025,126,110.17/369,194.30
  6. Step 6: Final answer
    x = 154,458.31

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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.