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Finding the Fourth Proportional to 216,473.81, 324,763.56 and 152,556.64

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Solution

The fourth proportional to 216,473.81, 324,763.56 and 152,556.64 is: 228,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,473.81 : 324,763.56 = 152,556.64 : x
  2. Step 2: Convert to fraction form
    216,473.81/324,763.56 = 152,556.64/x
  3. Step 3: Cross multiply
    216,473.81x = 324,763.56 × 152,556.64
  4. Step 4: Simplify right side
    216,473.81x = 49,544,836,696.13
  5. Step 5: Solve for x
    x = 49,544,836,696.13/216,473.81
  6. Step 6: Final answer
    x = 228,872.20

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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.