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Finding the Fourth Proportional to 190,577.36, 285,664.36 and 64,097.20

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Solution

The fourth proportional to 190,577.36, 285,664.36 and 64,097.20 is: 96,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,577.36 : 285,664.36 = 64,097.20 : x
  2. Step 2: Convert to fraction form
    190,577.36/285,664.36 = 64,097.20/x
  3. Step 3: Cross multiply
    190,577.36x = 285,664.36 × 64,097.20
  4. Step 4: Simplify right side
    190,577.36x = 18,310,285,615.79
  5. Step 5: Solve for x
    x = 18,310,285,615.79/190,577.36
  6. Step 6: Final answer
    x = 96,077.97

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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.