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Finding the Fourth Proportional to 216,949.76, 299,180.32 and 169,185.68

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Solution

The fourth proportional to 216,949.76, 299,180.32 and 169,185.68 is: 233,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,949.76 : 299,180.32 = 169,185.68 : x
  2. Step 2: Convert to fraction form
    216,949.76/299,180.32 = 169,185.68/x
  3. Step 3: Cross multiply
    216,949.76x = 299,180.32 × 169,185.68
  4. Step 4: Simplify right side
    216,949.76x = 50,617,025,881.82
  5. Step 5: Solve for x
    x = 50,617,025,881.82/216,949.76
  6. Step 6: Final answer
    x = 233,312.20

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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.