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Finding the Fourth Proportional to 255,381.86, 352,114.70 and 159,722.48

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Solution

The fourth proportional to 255,381.86, 352,114.70 and 159,722.48 is: 220,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,381.86 : 352,114.70 = 159,722.48 : x
  2. Step 2: Convert to fraction form
    255,381.86/352,114.70 = 159,722.48/x
  3. Step 3: Cross multiply
    255,381.86x = 352,114.70 × 159,722.48
  4. Step 4: Simplify right side
    255,381.86x = 56,240,633,210.13
  5. Step 5: Solve for x
    x = 56,240,633,210.13/255,381.86
  6. Step 6: Final answer
    x = 220,221.72

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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.