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Finding the Fourth Proportional to 180,596.82, 249,225.48 and 108,963

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Solution

The fourth proportional to 180,596.82, 249,225.48 and 108,963 is: 150,370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,596.82 : 249,225.48 = 108,963 : x
  2. Step 2: Convert to fraction form
    180,596.82/249,225.48 = 108,963/x
  3. Step 3: Cross multiply
    180,596.82x = 249,225.48 × 108,963
  4. Step 4: Simplify right side
    180,596.82x = 27,156,355,977.24
  5. Step 5: Solve for x
    x = 27,156,355,977.24/180,596.82
  6. Step 6: Final answer
    x = 150,370.07

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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.