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Finding the Fourth Proportional to 197,762.78, 272,913.10 and 107,118.38

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Solution

The fourth proportional to 197,762.78, 272,913.10 and 107,118.38 is: 147,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,762.78 : 272,913.10 = 107,118.38 : x
  2. Step 2: Convert to fraction form
    197,762.78/272,913.10 = 107,118.38/x
  3. Step 3: Cross multiply
    197,762.78x = 272,913.10 × 107,118.38
  4. Step 4: Simplify right side
    197,762.78x = 29,234,009,152.78
  5. Step 5: Solve for x
    x = 29,234,009,152.78/197,762.78
  6. Step 6: Final answer
    x = 147,823.62

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Why These Related Problems?

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