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Finding the Fourth Proportional to 227,807.80, 341,711.70 and 115,833.40

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Solution

The fourth proportional to 227,807.80, 341,711.70 and 115,833.40 is: 173,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,807.80 : 341,711.70 = 115,833.40 : x
  2. Step 2: Convert to fraction form
    227,807.80/341,711.70 = 115,833.40/x
  3. Step 3: Cross multiply
    227,807.80x = 341,711.70 × 115,833.40
  4. Step 4: Simplify right side
    227,807.80x = 39,581,628,030.78
  5. Step 5: Solve for x
    x = 39,581,628,030.78/227,807.80
  6. Step 6: Final answer
    x = 173,750.10

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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.