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Finding the Fourth Proportional to 224,418.65, 309,655.43 and 133,783.04

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Solution

The fourth proportional to 224,418.65, 309,655.43 and 133,783.04 is: 184,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,418.65 : 309,655.43 = 133,783.04 : x
  2. Step 2: Convert to fraction form
    224,418.65/309,655.43 = 133,783.04/x
  3. Step 3: Cross multiply
    224,418.65x = 309,655.43 × 133,783.04
  4. Step 4: Simplify right side
    224,418.65x = 41,426,645,384.82
  5. Step 5: Solve for x
    x = 41,426,645,384.82/224,418.65
  6. Step 6: Final answer
    x = 184,595.38

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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.