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Finding the Fourth Proportional to 367,156.84, 550,414.50 and 142,362.40

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Solution

The fourth proportional to 367,156.84, 550,414.50 and 142,362.40 is: 213,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,156.84 : 550,414.50 = 142,362.40 : x
  2. Step 2: Convert to fraction form
    367,156.84/550,414.50 = 142,362.40/x
  3. Step 3: Cross multiply
    367,156.84x = 550,414.50 × 142,362.40
  4. Step 4: Simplify right side
    367,156.84x = 78,358,329,214.80
  5. Step 5: Solve for x
    x = 78,358,329,214.80/367,156.84
  6. Step 6: Final answer
    x = 213,419.23

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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.