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Finding the Fourth Proportional to 190,562.16, 285,857.16 and 64,202.64

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Solution

The fourth proportional to 190,562.16, 285,857.16 and 64,202.64 is: 96,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,562.16 : 285,857.16 = 64,202.64 : x
  2. Step 2: Convert to fraction form
    190,562.16/285,857.16 = 64,202.64/x
  3. Step 3: Cross multiply
    190,562.16x = 285,857.16 × 64,202.64
  4. Step 4: Simplify right side
    190,562.16x = 18,352,784,334.90
  5. Step 5: Solve for x
    x = 18,352,784,334.90/190,562.16
  6. Step 6: Final answer
    x = 96,308.65

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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.