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Finding the Fourth Proportional to 180,157.24, 248,641.68 and 103,674.76

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Solution

The fourth proportional to 180,157.24, 248,641.68 and 103,674.76 is: 143,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,157.24 : 248,641.68 = 103,674.76 : x
  2. Step 2: Convert to fraction form
    180,157.24/248,641.68 = 103,674.76/x
  3. Step 3: Cross multiply
    180,157.24x = 248,641.68 × 103,674.76
  4. Step 4: Simplify right side
    180,157.24x = 25,777,866,500.00
  5. Step 5: Solve for x
    x = 25,777,866,500.00/180,157.24
  6. Step 6: Final answer
    x = 143,085.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.