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Finding the Fourth Proportional to 106,802.56, 160,226.43 and 40,241.26

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Solution

The fourth proportional to 106,802.56, 160,226.43 and 40,241.26 is: 60,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,802.56 : 160,226.43 = 40,241.26 : x
  2. Step 2: Convert to fraction form
    106,802.56/160,226.43 = 40,241.26/x
  3. Step 3: Cross multiply
    106,802.56x = 160,226.43 × 40,241.26
  4. Step 4: Simplify right side
    106,802.56x = 6,447,713,428.50
  5. Step 5: Solve for x
    x = 6,447,713,428.50/106,802.56
  6. Step 6: Final answer
    x = 60,370.40

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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.