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Finding the Fourth Proportional to 180,853.08, 249,629.24 and 109,221

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Solution

The fourth proportional to 180,853.08, 249,629.24 and 109,221 is: 150,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,853.08 : 249,629.24 = 109,221 : x
  2. Step 2: Convert to fraction form
    180,853.08/249,629.24 = 109,221/x
  3. Step 3: Cross multiply
    180,853.08x = 249,629.24 × 109,221
  4. Step 4: Simplify right side
    180,853.08x = 27,264,755,222.04
  5. Step 5: Solve for x
    x = 27,264,755,222.04/180,853.08
  6. Step 6: Final answer
    x = 150,756.38

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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.