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Finding the Fourth Proportional to 133,597.26, 200,409.04 and 38,828.28

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Solution

The fourth proportional to 133,597.26, 200,409.04 and 38,828.28 is: 58,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,597.26 : 200,409.04 = 38,828.28 : x
  2. Step 2: Convert to fraction form
    133,597.26/200,409.04 = 38,828.28/x
  3. Step 3: Cross multiply
    133,597.26x = 200,409.04 × 38,828.28
  4. Step 4: Simplify right side
    133,597.26x = 7,781,538,319.65
  5. Step 5: Solve for x
    x = 7,781,538,319.65/133,597.26
  6. Step 6: Final answer
    x = 58,246.24

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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.