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Finding the Fourth Proportional to 190,563.36, 285,643.36 and 64,083.20

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Solution

The fourth proportional to 190,563.36, 285,643.36 and 64,083.20 is: 96,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,563.36 : 285,643.36 = 64,083.20 : x
  2. Step 2: Convert to fraction form
    190,563.36/285,643.36 = 64,083.20/x
  3. Step 3: Cross multiply
    190,563.36x = 285,643.36 × 64,083.20
  4. Step 4: Simplify right side
    190,563.36x = 18,304,940,567.55
  5. Step 5: Solve for x
    x = 18,304,940,567.55/190,563.36
  6. Step 6: Final answer
    x = 96,056.98

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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.