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Finding the Fourth Proportional to 262,152, 393,229.44 and 65,160

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Solution

The fourth proportional to 262,152, 393,229.44 and 65,160 is: 97,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,152 : 393,229.44 = 65,160 : x
  2. Step 2: Convert to fraction form
    262,152/393,229.44 = 65,160/x
  3. Step 3: Cross multiply
    262,152x = 393,229.44 × 65,160
  4. Step 4: Simplify right side
    262,152x = 25,622,830,310.40
  5. Step 5: Solve for x
    x = 25,622,830,310.40/262,152
  6. Step 6: Final answer
    x = 97,740.36

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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.