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Finding the Fourth Proportional to 106,237.50, 159,363.54 and 35,160

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Solution

The fourth proportional to 106,237.50, 159,363.54 and 35,160 is: 52,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,237.50 : 159,363.54 = 35,160 : x
  2. Step 2: Convert to fraction form
    106,237.50/159,363.54 = 35,160/x
  3. Step 3: Cross multiply
    106,237.50x = 159,363.54 × 35,160
  4. Step 4: Simplify right side
    106,237.50x = 5,603,222,066.40
  5. Step 5: Solve for x
    x = 5,603,222,066.40/106,237.50
  6. Step 6: Final answer
    x = 52,742.41

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