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Finding the Fourth Proportional to 120,632.66, 180,950.28 and 36,393.54

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Solution

The fourth proportional to 120,632.66, 180,950.28 and 36,393.54 is: 54,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,632.66 : 180,950.28 = 36,393.54 : x
  2. Step 2: Convert to fraction form
    120,632.66/180,950.28 = 36,393.54/x
  3. Step 3: Cross multiply
    120,632.66x = 180,950.28 × 36,393.54
  4. Step 4: Simplify right side
    120,632.66x = 6,585,421,253.19
  5. Step 5: Solve for x
    x = 6,585,421,253.19/120,632.66
  6. Step 6: Final answer
    x = 54,590.70

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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.