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Finding the Fourth Proportional to 196,894, 271,713.72 and 107,470

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Solution

The fourth proportional to 196,894, 271,713.72 and 107,470 is: 148,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,894 : 271,713.72 = 107,470 : x
  2. Step 2: Convert to fraction form
    196,894/271,713.72 = 107,470/x
  3. Step 3: Cross multiply
    196,894x = 271,713.72 × 107,470
  4. Step 4: Simplify right side
    196,894x = 29,201,073,488.40
  5. Step 5: Solve for x
    x = 29,201,073,488.40/196,894
  6. Step 6: Final answer
    x = 148,308.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.