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Finding the Fourth Proportional to 224,421.17, 309,741.28 and 133,782.98

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Solution

The fourth proportional to 224,421.17, 309,741.28 and 133,782.98 is: 184,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,421.17 : 309,741.28 = 133,782.98 : x
  2. Step 2: Convert to fraction form
    224,421.17/309,741.28 = 133,782.98/x
  3. Step 3: Cross multiply
    224,421.17x = 309,741.28 × 133,782.98
  4. Step 4: Simplify right side
    224,421.17x = 41,438,109,584.25
  5. Step 5: Solve for x
    x = 41,438,109,584.25/224,421.17
  6. Step 6: Final answer
    x = 184,644.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.