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Finding the Fourth Proportional to 197,062.50, 271,946.28 and 107,638.50

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Solution

The fourth proportional to 197,062.50, 271,946.28 and 107,638.50 is: 148,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,062.50 : 271,946.28 = 107,638.50 : x
  2. Step 2: Convert to fraction form
    197,062.50/271,946.28 = 107,638.50/x
  3. Step 3: Cross multiply
    197,062.50x = 271,946.28 × 107,638.50
  4. Step 4: Simplify right side
    197,062.50x = 29,271,889,659.78
  5. Step 5: Solve for x
    x = 29,271,889,659.78/197,062.50
  6. Step 6: Final answer
    x = 148,541.15

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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.