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Finding the Fourth Proportional to 217,338.58, 326,085 and 97,386.10

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Solution

The fourth proportional to 217,338.58, 326,085 and 97,386.10 is: 146,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,338.58 : 326,085 = 97,386.10 : x
  2. Step 2: Convert to fraction form
    217,338.58/326,085 = 97,386.10/x
  3. Step 3: Cross multiply
    217,338.58x = 326,085 × 97,386.10
  4. Step 4: Simplify right side
    217,338.58x = 31,756,146,418.50
  5. Step 5: Solve for x
    x = 31,756,146,418.50/217,338.58
  6. Step 6: Final answer
    x = 146,113.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.