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Finding the Fourth Proportional to 365,774.38, 548,708.29 and 141,199.02

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Solution

The fourth proportional to 365,774.38, 548,708.29 and 141,199.02 is: 211,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,774.38 : 548,708.29 = 141,199.02 : x
  2. Step 2: Convert to fraction form
    365,774.38/548,708.29 = 141,199.02/x
  3. Step 3: Cross multiply
    365,774.38x = 548,708.29 × 141,199.02
  4. Step 4: Simplify right side
    365,774.38x = 77,477,072,460.88
  5. Step 5: Solve for x
    x = 77,477,072,460.88/365,774.38
  6. Step 6: Final answer
    x = 211,816.57

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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.