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Finding the Fourth Proportional to 303,201.77, 454,848.05 and 97,967.81

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Solution

The fourth proportional to 303,201.77, 454,848.05 and 97,967.81 is: 146,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,201.77 : 454,848.05 = 97,967.81 : x
  2. Step 2: Convert to fraction form
    303,201.77/454,848.05 = 97,967.81/x
  3. Step 3: Cross multiply
    303,201.77x = 454,848.05 × 97,967.81
  4. Step 4: Simplify right side
    303,201.77x = 44,560,466,851.43
  5. Step 5: Solve for x
    x = 44,560,466,851.43/303,201.77
  6. Step 6: Final answer
    x = 146,966.38

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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.