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Finding the Fourth Proportional to 120,802.32, 181,203.48 and 41,916.60

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Solution

The fourth proportional to 120,802.32, 181,203.48 and 41,916.60 is: 62,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,802.32 : 181,203.48 = 41,916.60 : x
  2. Step 2: Convert to fraction form
    120,802.32/181,203.48 = 41,916.60/x
  3. Step 3: Cross multiply
    120,802.32x = 181,203.48 × 41,916.60
  4. Step 4: Simplify right side
    120,802.32x = 7,595,433,789.77
  5. Step 5: Solve for x
    x = 7,595,433,789.77/120,802.32
  6. Step 6: Final answer
    x = 62,874.90

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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.