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Finding the Fourth Proportional to 105,391.86, 145,400.04 and 65,035.50

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Solution

The fourth proportional to 105,391.86, 145,400.04 and 65,035.50 is: 89,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,391.86 : 145,400.04 = 65,035.50 : x
  2. Step 2: Convert to fraction form
    105,391.86/145,400.04 = 65,035.50/x
  3. Step 3: Cross multiply
    105,391.86x = 145,400.04 × 65,035.50
  4. Step 4: Simplify right side
    105,391.86x = 9,456,164,301.42
  5. Step 5: Solve for x
    x = 9,456,164,301.42/105,391.86
  6. Step 6: Final answer
    x = 89,723.86

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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.