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Finding the Fourth Proportional to 114,835.96, 172,228.02 and 40,963.96

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Solution

The fourth proportional to 114,835.96, 172,228.02 and 40,963.96 is: 61,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,835.96 : 172,228.02 = 40,963.96 : x
  2. Step 2: Convert to fraction form
    114,835.96/172,228.02 = 40,963.96/x
  3. Step 3: Cross multiply
    114,835.96x = 172,228.02 × 40,963.96
  4. Step 4: Simplify right side
    114,835.96x = 7,055,141,722.16
  5. Step 5: Solve for x
    x = 7,055,141,722.16/114,835.96
  6. Step 6: Final answer
    x = 61,436.69

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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.