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Finding the Fourth Proportional to 365,821.64, 548,677.08 and 99,603.14

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Solution

The fourth proportional to 365,821.64, 548,677.08 and 99,603.14 is: 149,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,821.64 : 548,677.08 = 99,603.14 : x
  2. Step 2: Convert to fraction form
    365,821.64/548,677.08 = 99,603.14/x
  3. Step 3: Cross multiply
    365,821.64x = 548,677.08 × 99,603.14
  4. Step 4: Simplify right side
    365,821.64x = 54,649,957,270.65
  5. Step 5: Solve for x
    x = 54,649,957,270.65/365,821.64
  6. Step 6: Final answer
    x = 149,389.63

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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.