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Finding the Fourth Proportional to 224,438.33, 309,724.91 and 143,866.01

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Solution

The fourth proportional to 224,438.33, 309,724.91 and 143,866.01 is: 198,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,438.33 : 309,724.91 = 143,866.01 : x
  2. Step 2: Convert to fraction form
    224,438.33/309,724.91 = 143,866.01/x
  3. Step 3: Cross multiply
    224,438.33x = 309,724.91 × 143,866.01
  4. Step 4: Simplify right side
    224,438.33x = 44,558,886,999.31
  5. Step 5: Solve for x
    x = 44,558,886,999.31/224,438.33
  6. Step 6: Final answer
    x = 198,535.10

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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.