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Finding the Fourth Proportional to 216,803.64, 324,934.74 and 104,463.12

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Solution

The fourth proportional to 216,803.64, 324,934.74 and 104,463.12 is: 156,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,803.64 : 324,934.74 = 104,463.12 : x
  2. Step 2: Convert to fraction form
    216,803.64/324,934.74 = 104,463.12/x
  3. Step 3: Cross multiply
    216,803.64x = 324,934.74 × 104,463.12
  4. Step 4: Simplify right side
    216,803.64x = 33,943,696,736.79
  5. Step 5: Solve for x
    x = 33,943,696,736.79/216,803.64
  6. Step 6: Final answer
    x = 156,564.24

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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.