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Finding the Fourth Proportional to 248,598.71, 343,056.17 and 151,964.40

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Solution

The fourth proportional to 248,598.71, 343,056.17 and 151,964.40 is: 209,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,598.71 : 343,056.17 = 151,964.40 : x
  2. Step 2: Convert to fraction form
    248,598.71/343,056.17 = 151,964.40/x
  3. Step 3: Cross multiply
    248,598.71x = 343,056.17 × 151,964.40
  4. Step 4: Simplify right side
    248,598.71x = 52,132,324,280.53
  5. Step 5: Solve for x
    x = 52,132,324,280.53/248,598.71
  6. Step 6: Final answer
    x = 209,704.73

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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.