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Finding the Fourth Proportional to 191,148, 263,791 and 105,113.54

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Solution

The fourth proportional to 191,148, 263,791 and 105,113.54 is: 145,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,148 : 263,791 = 105,113.54 : x
  2. Step 2: Convert to fraction form
    191,148/263,791 = 105,113.54/x
  3. Step 3: Cross multiply
    191,148x = 263,791 × 105,113.54
  4. Step 4: Simplify right side
    191,148x = 27,728,005,830.14
  5. Step 5: Solve for x
    x = 27,728,005,830.14/191,148
  6. Step 6: Final answer
    x = 145,060.40

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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.