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Finding the Fourth Proportional to 213,384.42, 294,340.37 and 136,877.76

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Solution

The fourth proportional to 213,384.42, 294,340.37 and 136,877.76 is: 188,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,384.42 : 294,340.37 = 136,877.76 : x
  2. Step 2: Convert to fraction form
    213,384.42/294,340.37 = 136,877.76/x
  3. Step 3: Cross multiply
    213,384.42x = 294,340.37 × 136,877.76
  4. Step 4: Simplify right side
    213,384.42x = 40,288,649,838.78
  5. Step 5: Solve for x
    x = 40,288,649,838.78/213,384.42
  6. Step 6: Final answer
    x = 188,807.83

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