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Finding the Fourth Proportional to 228,057.95, 341,711.21 and 78,216.00

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Solution

The fourth proportional to 228,057.95, 341,711.21 and 78,216.00 is: 117,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,057.95 : 341,711.21 = 78,216.00 : x
  2. Step 2: Convert to fraction form
    228,057.95/341,711.21 = 78,216.00/x
  3. Step 3: Cross multiply
    228,057.95x = 341,711.21 × 78,216.00
  4. Step 4: Simplify right side
    228,057.95x = 26,727,282,915.48
  5. Step 5: Solve for x
    x = 26,727,282,915.48/228,057.95
  6. Step 6: Final answer
    x = 117,195.14

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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.