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Finding the Fourth Proportional to 191,061, 263,675.12 and 106,205.40

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Solution

The fourth proportional to 191,061, 263,675.12 and 106,205.40 is: 146,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,061 : 263,675.12 = 106,205.40 : x
  2. Step 2: Convert to fraction form
    191,061/263,675.12 = 106,205.40/x
  3. Step 3: Cross multiply
    191,061x = 263,675.12 × 106,205.40
  4. Step 4: Simplify right side
    191,061x = 28,003,721,058.62
  5. Step 5: Solve for x
    x = 28,003,721,058.62/191,061
  6. Step 6: Final answer
    x = 146,569.53

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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.