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Finding the Fourth Proportional to 119,762.94, 165,269.32 and 66,047.94

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Solution

The fourth proportional to 119,762.94, 165,269.32 and 66,047.94 is: 91,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,762.94 : 165,269.32 = 66,047.94 : x
  2. Step 2: Convert to fraction form
    119,762.94/165,269.32 = 66,047.94/x
  3. Step 3: Cross multiply
    119,762.94x = 165,269.32 × 66,047.94
  4. Step 4: Simplify right side
    119,762.94x = 10,915,698,131.20
  5. Step 5: Solve for x
    x = 10,915,698,131.20/119,762.94
  6. Step 6: Final answer
    x = 91,144.21

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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.