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Finding the Fourth Proportional to 185,381.14, 255,816.14 and 104,803.86

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Solution

The fourth proportional to 185,381.14, 255,816.14 and 104,803.86 is: 144,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,381.14 : 255,816.14 = 104,803.86 : x
  2. Step 2: Convert to fraction form
    185,381.14/255,816.14 = 104,803.86/x
  3. Step 3: Cross multiply
    185,381.14x = 255,816.14 × 104,803.86
  4. Step 4: Simplify right side
    185,381.14x = 26,810,518,922.30
  5. Step 5: Solve for x
    x = 26,810,518,922.30/185,381.14
  6. Step 6: Final answer
    x = 144,623.77

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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.