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Finding the Fourth Proportional to 196,572, 271,269.48 and 107,148

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Solution

The fourth proportional to 196,572, 271,269.48 and 107,148 is: 147,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,572 : 271,269.48 = 107,148 : x
  2. Step 2: Convert to fraction form
    196,572/271,269.48 = 107,148/x
  3. Step 3: Cross multiply
    196,572x = 271,269.48 × 107,148
  4. Step 4: Simplify right side
    196,572x = 29,065,982,243.04
  5. Step 5: Solve for x
    x = 29,065,982,243.04/196,572
  6. Step 6: Final answer
    x = 147,864.31

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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.