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Finding the Fourth Proportional to 365,771.74, 548,602.16 and 99,553

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Solution

The fourth proportional to 365,771.74, 548,602.16 and 99,553 is: 149,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,771.74 : 548,602.16 = 99,553 : x
  2. Step 2: Convert to fraction form
    365,771.74/548,602.16 = 99,553/x
  3. Step 3: Cross multiply
    365,771.74x = 548,602.16 × 99,553
  4. Step 4: Simplify right side
    365,771.74x = 54,614,990,834.48
  5. Step 5: Solve for x
    x = 54,614,990,834.48/365,771.74
  6. Step 6: Final answer
    x = 149,314.41

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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.