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Finding the Fourth Proportional to 133,595.26, 200,527.92 and 118,496.82

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Solution

The fourth proportional to 133,595.26, 200,527.92 and 118,496.82 is: 177,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,595.26 : 200,527.92 = 118,496.82 : x
  2. Step 2: Convert to fraction form
    133,595.26/200,527.92 = 118,496.82/x
  3. Step 3: Cross multiply
    133,595.26x = 200,527.92 × 118,496.82
  4. Step 4: Simplify right side
    133,595.26x = 23,761,920,841.21
  5. Step 5: Solve for x
    x = 23,761,920,841.21/133,595.26
  6. Step 6: Final answer
    x = 177,865.00

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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.