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Finding the Fourth Proportional to 116,742, 175,138.56 and 37,864.20

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Solution

The fourth proportional to 116,742, 175,138.56 and 37,864.20 is: 56,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,742 : 175,138.56 = 37,864.20 : x
  2. Step 2: Convert to fraction form
    116,742/175,138.56 = 37,864.20/x
  3. Step 3: Cross multiply
    116,742x = 175,138.56 × 37,864.20
  4. Step 4: Simplify right side
    116,742x = 6,631,481,463.55
  5. Step 5: Solve for x
    x = 6,631,481,463.55/116,742
  6. Step 6: Final answer
    x = 56,804.59

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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.