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Finding the Fourth Proportional to 105,955.74, 159,000.57 and 59,239.26

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Solution

The fourth proportional to 105,955.74, 159,000.57 and 59,239.26 is: 88,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,955.74 : 159,000.57 = 59,239.26 : x
  2. Step 2: Convert to fraction form
    105,955.74/159,000.57 = 59,239.26/x
  3. Step 3: Cross multiply
    105,955.74x = 159,000.57 × 59,239.26
  4. Step 4: Simplify right side
    105,955.74x = 9,419,076,106.38
  5. Step 5: Solve for x
    x = 9,419,076,106.38/105,955.74
  6. Step 6: Final answer
    x = 88,896.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.