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Finding the Fourth Proportional to 185,509.82, 255,719.49 and 113,756.78

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Solution

The fourth proportional to 185,509.82, 255,719.49 and 113,756.78 is: 156,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,509.82 : 255,719.49 = 113,756.78 : x
  2. Step 2: Convert to fraction form
    185,509.82/255,719.49 = 113,756.78/x
  3. Step 3: Cross multiply
    185,509.82x = 255,719.49 × 113,756.78
  4. Step 4: Simplify right side
    185,509.82x = 29,089,825,765.64
  5. Step 5: Solve for x
    x = 29,089,825,765.64/185,509.82
  6. Step 6: Final answer
    x = 156,810.17

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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.