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Finding the Fourth Proportional to 133,059.12, 199,554.60 and 39,543

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Solution

The fourth proportional to 133,059.12, 199,554.60 and 39,543 is: 59,304.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,059.12 : 199,554.60 = 39,543 : x
  2. Step 2: Convert to fraction form
    133,059.12/199,554.60 = 39,543/x
  3. Step 3: Cross multiply
    133,059.12x = 199,554.60 × 39,543
  4. Step 4: Simplify right side
    133,059.12x = 7,890,987,547.80
  5. Step 5: Solve for x
    x = 7,890,987,547.80/133,059.12
  6. Step 6: Final answer
    x = 59,304.37

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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.