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Finding the Fourth Proportional to 120,155.08, 180,235.10 and 37,049

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Solution

The fourth proportional to 120,155.08, 180,235.10 and 37,049 is: 55,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,155.08 : 180,235.10 = 37,049 : x
  2. Step 2: Convert to fraction form
    120,155.08/180,235.10 = 37,049/x
  3. Step 3: Cross multiply
    120,155.08x = 180,235.10 × 37,049
  4. Step 4: Simplify right side
    120,155.08x = 6,677,530,219.90
  5. Step 5: Solve for x
    x = 6,677,530,219.90/120,155.08
  6. Step 6: Final answer
    x = 55,574.26

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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.