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Finding the Fourth Proportional to 208,142.40, 312,213.60 and 103,035.20

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Solution

The fourth proportional to 208,142.40, 312,213.60 and 103,035.20 is: 154,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.40 : 312,213.60 = 103,035.20 : x
  2. Step 2: Convert to fraction form
    208,142.40/312,213.60 = 103,035.20/x
  3. Step 3: Cross multiply
    208,142.40x = 312,213.60 × 103,035.20
  4. Step 4: Simplify right side
    208,142.40x = 32,168,990,718.72
  5. Step 5: Solve for x
    x = 32,168,990,718.72/208,142.40
  6. Step 6: Final answer
    x = 154,552.80

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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.