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Finding the Fourth Proportional to 365,423.74, 548,135.34 and 99,223.31

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Solution

The fourth proportional to 365,423.74, 548,135.34 and 99,223.31 is: 148,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,423.74 : 548,135.34 = 99,223.31 : x
  2. Step 2: Convert to fraction form
    365,423.74/548,135.34 = 99,223.31/x
  3. Step 3: Cross multiply
    365,423.74x = 548,135.34 × 99,223.31
  4. Step 4: Simplify right side
    365,423.74x = 54,387,803,761.03
  5. Step 5: Solve for x
    x = 54,387,803,761.03/365,423.74
  6. Step 6: Final answer
    x = 148,834.90

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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.