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Finding the Fourth Proportional to 114,914.92, 172,077.02 and 64,920.36

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Solution

The fourth proportional to 114,914.92, 172,077.02 and 64,920.36 is: 97,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,914.92 : 172,077.02 = 64,920.36 : x
  2. Step 2: Convert to fraction form
    114,914.92/172,077.02 = 64,920.36/x
  3. Step 3: Cross multiply
    114,914.92x = 172,077.02 × 64,920.36
  4. Step 4: Simplify right side
    114,914.92x = 11,171,302,086.13
  5. Step 5: Solve for x
    x = 11,171,302,086.13/114,914.92
  6. Step 6: Final answer
    x = 97,213.68

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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.