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Finding the Fourth Proportional to 190,639.78, 285,784.67 and 65,893.30

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Solution

The fourth proportional to 190,639.78, 285,784.67 and 65,893.30 is: 98,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,639.78 : 285,784.67 = 65,893.30 : x
  2. Step 2: Convert to fraction form
    190,639.78/285,784.67 = 65,893.30/x
  3. Step 3: Cross multiply
    190,639.78x = 285,784.67 × 65,893.30
  4. Step 4: Simplify right side
    190,639.78x = 18,831,294,445.98
  5. Step 5: Solve for x
    x = 18,831,294,445.98/190,639.78
  6. Step 6: Final answer
    x = 98,779.46

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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.