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Finding the Fourth Proportional to 148,735, 223,137.78 and 50,239

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Solution

The fourth proportional to 148,735, 223,137.78 and 50,239 is: 75,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,735 : 223,137.78 = 50,239 : x
  2. Step 2: Convert to fraction form
    148,735/223,137.78 = 50,239/x
  3. Step 3: Cross multiply
    148,735x = 223,137.78 × 50,239
  4. Step 4: Simplify right side
    148,735x = 11,210,218,929.42
  5. Step 5: Solve for x
    x = 11,210,218,929.42/148,735
  6. Step 6: Final answer
    x = 75,370.42

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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.