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Finding the Fourth Proportional to 196,656.96, 271,386.72 and 111,774

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Solution

The fourth proportional to 196,656.96, 271,386.72 and 111,774 is: 154,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,656.96 : 271,386.72 = 111,774 : x
  2. Step 2: Convert to fraction form
    196,656.96/271,386.72 = 111,774/x
  3. Step 3: Cross multiply
    196,656.96x = 271,386.72 × 111,774
  4. Step 4: Simplify right side
    196,656.96x = 30,333,979,241.28
  5. Step 5: Solve for x
    x = 30,333,979,241.28/196,656.96
  6. Step 6: Final answer
    x = 154,248.19

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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.