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Finding the Fourth Proportional to 224,275.82, 336,302.96 and 82,013.86

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Solution

The fourth proportional to 224,275.82, 336,302.96 and 82,013.86 is: 122,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,275.82 : 336,302.96 = 82,013.86 : x
  2. Step 2: Convert to fraction form
    224,275.82/336,302.96 = 82,013.86/x
  3. Step 3: Cross multiply
    224,275.82x = 336,302.96 × 82,013.86
  4. Step 4: Simplify right side
    224,275.82x = 27,581,502,197.51
  5. Step 5: Solve for x
    x = 27,581,502,197.51/224,275.82
  6. Step 6: Final answer
    x = 122,980.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.