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Finding the Fourth Proportional to 216,348, 298,366.29 and 180,169.26

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Solution

The fourth proportional to 216,348, 298,366.29 and 180,169.26 is: 248,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,348 : 298,366.29 = 180,169.26 : x
  2. Step 2: Convert to fraction form
    216,348/298,366.29 = 180,169.26/x
  3. Step 3: Cross multiply
    216,348x = 298,366.29 × 180,169.26
  4. Step 4: Simplify right side
    216,348x = 53,756,433,678.25
  5. Step 5: Solve for x
    x = 53,756,433,678.25/216,348
  6. Step 6: Final answer
    x = 248,472.06

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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.