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Finding the Fourth Proportional to 151,868.38, 209,578.37 and 84,800.38

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Solution

The fourth proportional to 151,868.38, 209,578.37 and 84,800.38 is: 117,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,868.38 : 209,578.37 = 84,800.38 : x
  2. Step 2: Convert to fraction form
    151,868.38/209,578.37 = 84,800.38/x
  3. Step 3: Cross multiply
    151,868.38x = 209,578.37 × 84,800.38
  4. Step 4: Simplify right side
    151,868.38x = 17,772,323,943.89
  5. Step 5: Solve for x
    x = 17,772,323,943.89/151,868.38
  6. Step 6: Final answer
    x = 117,024.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.