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Finding the Fourth Proportional to 225,812.50, 338,701.43 and 83,590.98

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Solution

The fourth proportional to 225,812.50, 338,701.43 and 83,590.98 is: 125,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,812.50 : 338,701.43 = 83,590.98 : x
  2. Step 2: Convert to fraction form
    225,812.50/338,701.43 = 83,590.98/x
  3. Step 3: Cross multiply
    225,812.50x = 338,701.43 × 83,590.98
  4. Step 4: Simplify right side
    225,812.50x = 28,312,384,461.10
  5. Step 5: Solve for x
    x = 28,312,384,461.10/225,812.50
  6. Step 6: Final answer
    x = 125,380.06

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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.