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Finding the Fourth Proportional to 120,187.86, 180,154.67 and 45,275.59

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Solution

The fourth proportional to 120,187.86, 180,154.67 and 45,275.59 is: 67,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,187.86 : 180,154.67 = 45,275.59 : x
  2. Step 2: Convert to fraction form
    120,187.86/180,154.67 = 45,275.59/x
  3. Step 3: Cross multiply
    120,187.86x = 180,154.67 × 45,275.59
  4. Step 4: Simplify right side
    120,187.86x = 8,156,608,975.51
  5. Step 5: Solve for x
    x = 8,156,608,975.51/120,187.86
  6. Step 6: Final answer
    x = 67,865.50

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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.