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Finding the Fourth Proportional to 224,409.69, 309,315.66 and 158,914.53

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Solution

The fourth proportional to 224,409.69, 309,315.66 and 158,914.53 is: 219,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,409.69 : 309,315.66 = 158,914.53 : x
  2. Step 2: Convert to fraction form
    224,409.69/309,315.66 = 158,914.53/x
  3. Step 3: Cross multiply
    224,409.69x = 309,315.66 × 158,914.53
  4. Step 4: Simplify right side
    224,409.69x = 49,154,752,730.54
  5. Step 5: Solve for x
    x = 49,154,752,730.54/224,409.69
  6. Step 6: Final answer
    x = 219,040.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.