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Finding the Fourth Proportional to 120,598.62, 180,925.49 and 41,712.77

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Solution

The fourth proportional to 120,598.62, 180,925.49 and 41,712.77 is: 62,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,598.62 : 180,925.49 = 41,712.77 : x
  2. Step 2: Convert to fraction form
    120,598.62/180,925.49 = 41,712.77/x
  3. Step 3: Cross multiply
    120,598.62x = 180,925.49 × 41,712.77
  4. Step 4: Simplify right side
    120,598.62x = 7,546,903,351.51
  5. Step 5: Solve for x
    x = 7,546,903,351.51/120,598.62
  6. Step 6: Final answer
    x = 62,578.69

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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.