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Finding the Fourth Proportional to 196,557, 271,248.78 and 107,133

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Solution

The fourth proportional to 196,557, 271,248.78 and 107,133 is: 147,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,557 : 271,248.78 = 107,133 : x
  2. Step 2: Convert to fraction form
    196,557/271,248.78 = 107,133/x
  3. Step 3: Cross multiply
    196,557x = 271,248.78 × 107,133
  4. Step 4: Simplify right side
    196,557x = 29,059,695,547.74
  5. Step 5: Solve for x
    x = 29,059,695,547.74/196,557
  6. Step 6: Final answer
    x = 147,843.61

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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.