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Finding the Fourth Proportional to 180,532.50, 249,143.41 and 108,910.98

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Solution

The fourth proportional to 180,532.50, 249,143.41 and 108,910.98 is: 150,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,532.50 : 249,143.41 = 108,910.98 : x
  2. Step 2: Convert to fraction form
    180,532.50/249,143.41 = 108,910.98/x
  3. Step 3: Cross multiply
    180,532.50x = 249,143.41 × 108,910.98
  4. Step 4: Simplify right side
    180,532.50x = 27,134,452,943.64
  5. Step 5: Solve for x
    x = 27,134,452,943.64/180,532.50
  6. Step 6: Final answer
    x = 150,302.32

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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.