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Finding the Fourth Proportional to 164,746, 247,121.16 and 53,938

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Solution

The fourth proportional to 164,746, 247,121.16 and 53,938 is: 80,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,746 : 247,121.16 = 53,938 : x
  2. Step 2: Convert to fraction form
    164,746/247,121.16 = 53,938/x
  3. Step 3: Cross multiply
    164,746x = 247,121.16 × 53,938
  4. Step 4: Simplify right side
    164,746x = 13,329,221,128.08
  5. Step 5: Solve for x
    x = 13,329,221,128.08/164,746
  6. Step 6: Final answer
    x = 80,907.71

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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.