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Finding the Fourth Proportional to 105,750, 158,629.32 and 26,866.26

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Solution

The fourth proportional to 105,750, 158,629.32 and 26,866.26 is: 40,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,750 : 158,629.32 = 26,866.26 : x
  2. Step 2: Convert to fraction form
    105,750/158,629.32 = 26,866.26/x
  3. Step 3: Cross multiply
    105,750x = 158,629.32 × 26,866.26
  4. Step 4: Simplify right side
    105,750x = 4,261,776,554.74
  5. Step 5: Solve for x
    x = 4,261,776,554.74/105,750
  6. Step 6: Final answer
    x = 40,300.49

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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.