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Finding the Fourth Proportional to 237,893, 356,977.74 and 106,565

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Solution

The fourth proportional to 237,893, 356,977.74 and 106,565 is: 159,909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,893 : 356,977.74 = 106,565 : x
  2. Step 2: Convert to fraction form
    237,893/356,977.74 = 106,565/x
  3. Step 3: Cross multiply
    237,893x = 356,977.74 × 106,565
  4. Step 4: Simplify right side
    237,893x = 38,041,332,863.10
  5. Step 5: Solve for x
    x = 38,041,332,863.10/237,893
  6. Step 6: Final answer
    x = 159,909.43

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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.