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Finding the Fourth Proportional to 216,824.72, 299,227.38 and 134,056.76

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Solution

The fourth proportional to 216,824.72, 299,227.38 and 134,056.76 is: 185,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,824.72 : 299,227.38 = 134,056.76 : x
  2. Step 2: Convert to fraction form
    216,824.72/299,227.38 = 134,056.76/x
  3. Step 3: Cross multiply
    216,824.72x = 299,227.38 × 134,056.76
  4. Step 4: Simplify right side
    216,824.72x = 40,113,453,066.09
  5. Step 5: Solve for x
    x = 40,113,453,066.09/216,824.72
  6. Step 6: Final answer
    x = 185,004.06

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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.