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Finding the Fourth Proportional to 116,808.24, 175,363.02 and 100,274.52

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Solution

The fourth proportional to 116,808.24, 175,363.02 and 100,274.52 is: 150,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,808.24 : 175,363.02 = 100,274.52 : x
  2. Step 2: Convert to fraction form
    116,808.24/175,363.02 = 100,274.52/x
  3. Step 3: Cross multiply
    116,808.24x = 175,363.02 × 100,274.52
  4. Step 4: Simplify right side
    116,808.24x = 17,584,442,656.25
  5. Step 5: Solve for x
    x = 17,584,442,656.25/116,808.24
  6. Step 6: Final answer
    x = 150,541.11

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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.