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Finding the Fourth Proportional to 224,576.86, 309,897.44 and 127,754.95

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Solution

The fourth proportional to 224,576.86, 309,897.44 and 127,754.95 is: 176,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,576.86 : 309,897.44 = 127,754.95 : x
  2. Step 2: Convert to fraction form
    224,576.86/309,897.44 = 127,754.95/x
  3. Step 3: Cross multiply
    224,576.86x = 309,897.44 × 127,754.95
  4. Step 4: Simplify right side
    224,576.86x = 39,590,932,898.63
  5. Step 5: Solve for x
    x = 39,590,932,898.63/224,576.86
  6. Step 6: Final answer
    x = 176,291.24

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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.