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Finding the Fourth Proportional to 227,803.80, 341,705.70 and 115,829.40

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Solution

The fourth proportional to 227,803.80, 341,705.70 and 115,829.40 is: 173,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,803.80 : 341,705.70 = 115,829.40 : x
  2. Step 2: Convert to fraction form
    227,803.80/341,705.70 = 115,829.40/x
  3. Step 3: Cross multiply
    227,803.80x = 341,705.70 × 115,829.40
  4. Step 4: Simplify right side
    227,803.80x = 39,579,566,207.58
  5. Step 5: Solve for x
    x = 39,579,566,207.58/227,803.80
  6. Step 6: Final answer
    x = 173,744.10

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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.