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Finding the Fourth Proportional to 133,025.65, 199,537.95 and 39,531.40

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Solution

The fourth proportional to 133,025.65, 199,537.95 and 39,531.40 is: 59,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,025.65 : 199,537.95 = 39,531.40 : x
  2. Step 2: Convert to fraction form
    133,025.65/199,537.95 = 39,531.40/x
  3. Step 3: Cross multiply
    133,025.65x = 199,537.95 × 39,531.40
  4. Step 4: Simplify right side
    133,025.65x = 7,888,014,516.63
  5. Step 5: Solve for x
    x = 7,888,014,516.63/133,025.65
  6. Step 6: Final answer
    x = 59,296.94

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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.