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Finding the Fourth Proportional to 197,026, 271,895.88 and 107,602

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Solution

The fourth proportional to 197,026, 271,895.88 and 107,602 is: 148,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,026 : 271,895.88 = 107,602 : x
  2. Step 2: Convert to fraction form
    197,026/271,895.88 = 107,602/x
  3. Step 3: Cross multiply
    197,026x = 271,895.88 × 107,602
  4. Step 4: Simplify right side
    197,026x = 29,256,540,479.76
  5. Step 5: Solve for x
    x = 29,256,540,479.76/197,026
  6. Step 6: Final answer
    x = 148,490.76

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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.