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Finding the Fourth Proportional to 229,662.68, 344,564.06 and 117,421.74

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Solution

The fourth proportional to 229,662.68, 344,564.06 and 117,421.74 is: 176,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,662.68 : 344,564.06 = 117,421.74 : x
  2. Step 2: Convert to fraction form
    229,662.68/344,564.06 = 117,421.74/x
  3. Step 3: Cross multiply
    229,662.68x = 344,564.06 × 117,421.74
  4. Step 4: Simplify right side
    229,662.68x = 40,459,310,879.56
  5. Step 5: Solve for x
    x = 40,459,310,879.56/229,662.68
  6. Step 6: Final answer
    x = 176,168.42

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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.