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Finding the Fourth Proportional to 213,135.19, 294,133.68 and 116,344.78

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Solution

The fourth proportional to 213,135.19, 294,133.68 and 116,344.78 is: 160,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,135.19 : 294,133.68 = 116,344.78 : x
  2. Step 2: Convert to fraction form
    213,135.19/294,133.68 = 116,344.78/x
  3. Step 3: Cross multiply
    213,135.19x = 294,133.68 × 116,344.78
  4. Step 4: Simplify right side
    213,135.19x = 34,220,917,263.99
  5. Step 5: Solve for x
    x = 34,220,917,263.99/213,135.19
  6. Step 6: Final answer
    x = 160,559.68

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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.