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Finding the Fourth Proportional to 201,077.40, 301,616.10 and 178,332.60

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Solution

The fourth proportional to 201,077.40, 301,616.10 and 178,332.60 is: 267,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,077.40 : 301,616.10 = 178,332.60 : x
  2. Step 2: Convert to fraction form
    201,077.40/301,616.10 = 178,332.60/x
  3. Step 3: Cross multiply
    201,077.40x = 301,616.10 × 178,332.60
  4. Step 4: Simplify right side
    201,077.40x = 53,787,983,314.86
  5. Step 5: Solve for x
    x = 53,787,983,314.86/201,077.40
  6. Step 6: Final answer
    x = 267,498.90

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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.