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Finding the Fourth Proportional to 119,762.72, 165,284.24 and 89,495.49

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Solution

The fourth proportional to 119,762.72, 165,284.24 and 89,495.49 is: 123,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,762.72 : 165,284.24 = 89,495.49 : x
  2. Step 2: Convert to fraction form
    119,762.72/165,284.24 = 89,495.49/x
  3. Step 3: Cross multiply
    119,762.72x = 165,284.24 × 89,495.49
  4. Step 4: Simplify right side
    119,762.72x = 14,792,194,220.42
  5. Step 5: Solve for x
    x = 14,792,194,220.42/119,762.72
  6. Step 6: Final answer
    x = 123,512.51

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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.