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Finding the Fourth Proportional to 172,265.94, 237,698.10 and 95,782.86

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Solution

The fourth proportional to 172,265.94, 237,698.10 and 95,782.86 is: 132,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,265.94 : 237,698.10 = 95,782.86 : x
  2. Step 2: Convert to fraction form
    172,265.94/237,698.10 = 95,782.86/x
  3. Step 3: Cross multiply
    172,265.94x = 237,698.10 × 95,782.86
  4. Step 4: Simplify right side
    172,265.94x = 22,767,403,834.57
  5. Step 5: Solve for x
    x = 22,767,403,834.57/172,265.94
  6. Step 6: Final answer
    x = 132,164.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.