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Finding the Fourth Proportional to 224,419.04, 309,738.35 and 133,780.79

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Solution

The fourth proportional to 224,419.04, 309,738.35 and 133,780.79 is: 184,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,419.04 : 309,738.35 = 133,780.79 : x
  2. Step 2: Convert to fraction form
    224,419.04/309,738.35 = 133,780.79/x
  3. Step 3: Cross multiply
    224,419.04x = 309,738.35 × 133,780.79
  4. Step 4: Simplify right side
    224,419.04x = 41,437,041,156.30
  5. Step 5: Solve for x
    x = 41,437,041,156.30/224,419.04
  6. Step 6: Final answer
    x = 184,641.38

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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.