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Finding the Fourth Proportional to 224,248.36, 309,537.71 and 133,632.76

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Solution

The fourth proportional to 224,248.36, 309,537.71 and 133,632.76 is: 184,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,248.36 : 309,537.71 = 133,632.76 : x
  2. Step 2: Convert to fraction form
    224,248.36/309,537.71 = 133,632.76/x
  3. Step 3: Cross multiply
    224,248.36x = 309,537.71 × 133,632.76
  4. Step 4: Simplify right side
    224,248.36x = 41,364,378,511.38
  5. Step 5: Solve for x
    x = 41,364,378,511.38/224,248.36
  6. Step 6: Final answer
    x = 184,457.89

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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.