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Finding the Fourth Proportional to 120,055.97, 180,094.19 and 35,810.71

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Solution

The fourth proportional to 120,055.97, 180,094.19 and 35,810.71 is: 53,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,055.97 : 180,094.19 = 35,810.71 : x
  2. Step 2: Convert to fraction form
    120,055.97/180,094.19 = 35,810.71/x
  3. Step 3: Cross multiply
    120,055.97x = 180,094.19 × 35,810.71
  4. Step 4: Simplify right side
    120,055.97x = 6,449,300,181.49
  5. Step 5: Solve for x
    x = 6,449,300,181.49/120,055.97
  6. Step 6: Final answer
    x = 53,719.11

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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.