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Finding the Fourth Proportional to 274,064.64, 378,051.48 and 160,865.52

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Solution

The fourth proportional to 274,064.64, 378,051.48 and 160,865.52 is: 221,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,064.64 : 378,051.48 = 160,865.52 : x
  2. Step 2: Convert to fraction form
    274,064.64/378,051.48 = 160,865.52/x
  3. Step 3: Cross multiply
    274,064.64x = 378,051.48 × 160,865.52
  4. Step 4: Simplify right side
    274,064.64x = 60,815,447,916.97
  5. Step 5: Solve for x
    x = 60,815,447,916.97/274,064.64
  6. Step 6: Final answer
    x = 221,901.84

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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.