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Finding the Fourth Proportional to 213,358.09, 294,423.28 and 117,846.31

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Solution

The fourth proportional to 213,358.09, 294,423.28 and 117,846.31 is: 162,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,358.09 : 294,423.28 = 117,846.31 : x
  2. Step 2: Convert to fraction form
    213,358.09/294,423.28 = 117,846.31/x
  3. Step 3: Cross multiply
    213,358.09x = 294,423.28 × 117,846.31
  4. Step 4: Simplify right side
    213,358.09x = 34,696,697,126.10
  5. Step 5: Solve for x
    x = 34,696,697,126.10/213,358.09
  6. Step 6: Final answer
    x = 162,621.90

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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.