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Finding the Fourth Proportional to 145,035.41, 200,145.74 and 80,500.86

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Solution

The fourth proportional to 145,035.41, 200,145.74 and 80,500.86 is: 111,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,035.41 : 200,145.74 = 80,500.86 : x
  2. Step 2: Convert to fraction form
    145,035.41/200,145.74 = 80,500.86/x
  3. Step 3: Cross multiply
    145,035.41x = 200,145.74 × 80,500.86
  4. Step 4: Simplify right side
    145,035.41x = 16,111,904,355.74
  5. Step 5: Solve for x
    x = 16,111,904,355.74/145,035.41
  6. Step 6: Final answer
    x = 111,089.45

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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.