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Finding the Fourth Proportional to 213,497.36, 294,509.75 and 136,931.27

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Solution

The fourth proportional to 213,497.36, 294,509.75 and 136,931.27 is: 188,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,497.36 : 294,509.75 = 136,931.27 : x
  2. Step 2: Convert to fraction form
    213,497.36/294,509.75 = 136,931.27/x
  3. Step 3: Cross multiply
    213,497.36x = 294,509.75 × 136,931.27
  4. Step 4: Simplify right side
    213,497.36x = 40,327,591,937.68
  5. Step 5: Solve for x
    x = 40,327,591,937.68/213,497.36
  6. Step 6: Final answer
    x = 188,890.36

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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.