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Finding the Fourth Proportional to 224,520.34, 309,838.07 and 153,025.26

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Solution

The fourth proportional to 224,520.34, 309,838.07 and 153,025.26 is: 211,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,520.34 : 309,838.07 = 153,025.26 : x
  2. Step 2: Convert to fraction form
    224,520.34/309,838.07 = 153,025.26/x
  3. Step 3: Cross multiply
    224,520.34x = 309,838.07 × 153,025.26
  4. Step 4: Simplify right side
    224,520.34x = 47,413,049,670.46
  5. Step 5: Solve for x
    x = 47,413,049,670.46/224,520.34
  6. Step 6: Final answer
    x = 211,174.86

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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.