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Finding the Fourth Proportional to 105,415.90, 145,487.64 and 65,149.18

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Solution

The fourth proportional to 105,415.90, 145,487.64 and 65,149.18 is: 89,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,415.90 : 145,487.64 = 65,149.18 : x
  2. Step 2: Convert to fraction form
    105,415.90/145,487.64 = 65,149.18/x
  3. Step 3: Cross multiply
    105,415.90x = 145,487.64 × 65,149.18
  4. Step 4: Simplify right side
    105,415.90x = 9,478,400,446.14
  5. Step 5: Solve for x
    x = 9,478,400,446.14/105,415.90
  6. Step 6: Final answer
    x = 89,914.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.