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Finding the Fourth Proportional to 228,192, 342,333.60 and 70,414.50

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Solution

The fourth proportional to 228,192, 342,333.60 and 70,414.50 is: 105,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,192 : 342,333.60 = 70,414.50 : x
  2. Step 2: Convert to fraction form
    228,192/342,333.60 = 70,414.50/x
  3. Step 3: Cross multiply
    228,192x = 342,333.60 × 70,414.50
  4. Step 4: Simplify right side
    228,192x = 24,105,249,277.20
  5. Step 5: Solve for x
    x = 24,105,249,277.20/228,192
  6. Step 6: Final answer
    x = 105,635.82

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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.