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Finding the Fourth Proportional to 216,007.74, 323,974.24 and 97,651.56

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Solution

The fourth proportional to 216,007.74, 323,974.24 and 97,651.56 is: 146,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,007.74 : 323,974.24 = 97,651.56 : x
  2. Step 2: Convert to fraction form
    216,007.74/323,974.24 = 97,651.56/x
  3. Step 3: Cross multiply
    216,007.74x = 323,974.24 × 97,651.56
  4. Step 4: Simplify right side
    216,007.74x = 31,636,589,935.81
  5. Step 5: Solve for x
    x = 31,636,589,935.81/216,007.74
  6. Step 6: Final answer
    x = 146,460.45

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1.5x scale

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.