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Finding the Fourth Proportional to 189,201.66, 283,831.68 and 64,513.50

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Solution

The fourth proportional to 189,201.66, 283,831.68 and 64,513.50 is: 96,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,201.66 : 283,831.68 = 64,513.50 : x
  2. Step 2: Convert to fraction form
    189,201.66/283,831.68 = 64,513.50/x
  3. Step 3: Cross multiply
    189,201.66x = 283,831.68 × 64,513.50
  4. Step 4: Simplify right side
    189,201.66x = 18,310,975,087.68
  5. Step 5: Solve for x
    x = 18,310,975,087.68/189,201.66
  6. Step 6: Final answer
    x = 96,780.20

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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.