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Finding the Fourth Proportional to 196,486.46, 271,151.30 and 107,062.46

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Solution

The fourth proportional to 196,486.46, 271,151.30 and 107,062.46 is: 147,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,486.46 : 271,151.30 = 107,062.46 : x
  2. Step 2: Convert to fraction form
    196,486.46/271,151.30 = 107,062.46/x
  3. Step 3: Cross multiply
    196,486.46x = 271,151.30 × 107,062.46
  4. Step 4: Simplify right side
    196,486.46x = 29,030,125,210.20
  5. Step 5: Solve for x
    x = 29,030,125,210.20/196,486.46
  6. Step 6: Final answer
    x = 147,746.19

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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.