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Finding the Fourth Proportional to 213,435, 294,677.28 and 136,986.84

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Solution

The fourth proportional to 213,435, 294,677.28 and 136,986.84 is: 189,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,435 : 294,677.28 = 136,986.84 : x
  2. Step 2: Convert to fraction form
    213,435/294,677.28 = 136,986.84/x
  3. Step 3: Cross multiply
    213,435x = 294,677.28 × 136,986.84
  4. Step 4: Simplify right side
    213,435x = 40,366,909,407.00
  5. Step 5: Solve for x
    x = 40,366,909,407.00/213,435
  6. Step 6: Final answer
    x = 189,129.76

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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.