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Finding the Fourth Proportional to 228,143.20, 342,214.80 and 61,931.20

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Solution

The fourth proportional to 228,143.20, 342,214.80 and 61,931.20 is: 92,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,143.20 : 342,214.80 = 61,931.20 : x
  2. Step 2: Convert to fraction form
    228,143.20/342,214.80 = 61,931.20/x
  3. Step 3: Cross multiply
    228,143.20x = 342,214.80 × 61,931.20
  4. Step 4: Simplify right side
    228,143.20x = 21,193,773,221.76
  5. Step 5: Solve for x
    x = 21,193,773,221.76/228,143.20
  6. Step 6: Final answer
    x = 92,896.80

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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.