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Finding the Fourth Proportional to 114,564.80, 172,001.10 and 67,228.40

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Solution

The fourth proportional to 114,564.80, 172,001.10 and 67,228.40 is: 100,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,564.80 : 172,001.10 = 67,228.40 : x
  2. Step 2: Convert to fraction form
    114,564.80/172,001.10 = 67,228.40/x
  3. Step 3: Cross multiply
    114,564.80x = 172,001.10 × 67,228.40
  4. Step 4: Simplify right side
    114,564.80x = 11,563,358,751.24
  5. Step 5: Solve for x
    x = 11,563,358,751.24/114,564.80
  6. Step 6: Final answer
    x = 100,932.91

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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.