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Finding the Fourth Proportional to 224,606.64, 309,845.30 and 133,898.69

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Solution

The fourth proportional to 224,606.64, 309,845.30 and 133,898.69 is: 184,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,606.64 : 309,845.30 = 133,898.69 : x
  2. Step 2: Convert to fraction form
    224,606.64/309,845.30 = 133,898.69/x
  3. Step 3: Cross multiply
    224,606.64x = 309,845.30 × 133,898.69
  4. Step 4: Simplify right side
    224,606.64x = 41,487,878,888.08
  5. Step 5: Solve for x
    x = 41,487,878,888.08/224,606.64
  6. Step 6: Final answer
    x = 184,713.50

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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.