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Finding the Fourth Proportional to 180,140.55, 268,891.69 and 158,859.69

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Solution

The fourth proportional to 180,140.55, 268,891.69 and 158,859.69 is: 237,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,140.55 : 268,891.69 = 158,859.69 : x
  2. Step 2: Convert to fraction form
    180,140.55/268,891.69 = 158,859.69/x
  3. Step 3: Cross multiply
    180,140.55x = 268,891.69 × 158,859.69
  4. Step 4: Simplify right side
    180,140.55x = 42,716,050,516.98
  5. Step 5: Solve for x
    x = 42,716,050,516.98/180,140.55
  6. Step 6: Final answer
    x = 237,126.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.