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Finding the Fourth Proportional to 216,085.69, 324,007.04 and 148,696.93

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Solution

The fourth proportional to 216,085.69, 324,007.04 and 148,696.93 is: 222,961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,085.69 : 324,007.04 = 148,696.93 : x
  2. Step 2: Convert to fraction form
    216,085.69/324,007.04 = 148,696.93/x
  3. Step 3: Cross multiply
    216,085.69x = 324,007.04 × 148,696.93
  4. Step 4: Simplify right side
    216,085.69x = 48,178,852,086.72
  5. Step 5: Solve for x
    x = 48,178,852,086.72/216,085.69
  6. Step 6: Final answer
    x = 222,961.79

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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.