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Finding the Fourth Proportional to 213,288, 294,337.44 and 123,869.76

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Solution

The fourth proportional to 213,288, 294,337.44 and 123,869.76 is: 170,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,288 : 294,337.44 = 123,869.76 : x
  2. Step 2: Convert to fraction form
    213,288/294,337.44 = 123,869.76/x
  3. Step 3: Cross multiply
    213,288x = 294,337.44 × 123,869.76
  4. Step 4: Simplify right side
    213,288x = 36,459,508,051.81
  5. Step 5: Solve for x
    x = 36,459,508,051.81/213,288
  6. Step 6: Final answer
    x = 170,940.27

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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.