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Finding the Fourth Proportional to 224,661.50, 310,033.14 and 124,059.50

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Solution

The fourth proportional to 224,661.50, 310,033.14 and 124,059.50 is: 171,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,661.50 : 310,033.14 = 124,059.50 : x
  2. Step 2: Convert to fraction form
    224,661.50/310,033.14 = 124,059.50/x
  3. Step 3: Cross multiply
    224,661.50x = 310,033.14 × 124,059.50
  4. Step 4: Simplify right side
    224,661.50x = 38,462,556,331.83
  5. Step 5: Solve for x
    x = 38,462,556,331.83/224,661.50
  6. Step 6: Final answer
    x = 171,202.26

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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.