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Finding the Fourth Proportional to 228,142.65, 342,099.77 and 70,350.60

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Solution

The fourth proportional to 228,142.65, 342,099.77 and 70,350.60 is: 105,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,142.65 : 342,099.77 = 70,350.60 : x
  2. Step 2: Convert to fraction form
    228,142.65/342,099.77 = 70,350.60/x
  3. Step 3: Cross multiply
    228,142.65x = 342,099.77 × 70,350.60
  4. Step 4: Simplify right side
    228,142.65x = 24,066,923,727.61
  5. Step 5: Solve for x
    x = 24,066,923,727.61/228,142.65
  6. Step 6: Final answer
    x = 105,490.68

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Why These Related Problems?

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