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Finding the Fourth Proportional to 105,186.59, 157,682.38 and 41,991.40

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Solution

The fourth proportional to 105,186.59, 157,682.38 and 41,991.40 is: 62,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,186.59 : 157,682.38 = 41,991.40 : x
  2. Step 2: Convert to fraction form
    105,186.59/157,682.38 = 41,991.40/x
  3. Step 3: Cross multiply
    105,186.59x = 157,682.38 × 41,991.40
  4. Step 4: Simplify right side
    105,186.59x = 6,621,303,891.53
  5. Step 5: Solve for x
    x = 6,621,303,891.53/105,186.59
  6. Step 6: Final answer
    x = 62,948.18

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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.