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Finding the Fourth Proportional to 227,838.62, 341,564.06 and 139,154.34

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Solution

The fourth proportional to 227,838.62, 341,564.06 and 139,154.34 is: 208,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,838.62 : 341,564.06 = 139,154.34 : x
  2. Step 2: Convert to fraction form
    227,838.62/341,564.06 = 139,154.34/x
  3. Step 3: Cross multiply
    227,838.62x = 341,564.06 × 139,154.34
  4. Step 4: Simplify right side
    227,838.62x = 47,530,121,337.02
  5. Step 5: Solve for x
    x = 47,530,121,337.02/227,838.62
  6. Step 6: Final answer
    x = 208,613.10

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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.