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Finding the Fourth Proportional to 186,745.88, 257,718.42 and 105,099.63

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Solution

The fourth proportional to 186,745.88, 257,718.42 and 105,099.63 is: 145,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,745.88 : 257,718.42 = 105,099.63 : x
  2. Step 2: Convert to fraction form
    186,745.88/257,718.42 = 105,099.63/x
  3. Step 3: Cross multiply
    186,745.88x = 257,718.42 × 105,099.63
  4. Step 4: Simplify right side
    186,745.88x = 27,086,110,586.18
  5. Step 5: Solve for x
    x = 27,086,110,586.18/186,745.88
  6. Step 6: Final answer
    x = 145,042.62

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1.5x scale

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.