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Finding the Fourth Proportional to 191,893.56, 287,838.32 and 65,532.36

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Solution

The fourth proportional to 191,893.56, 287,838.32 and 65,532.36 is: 98,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,893.56 : 287,838.32 = 65,532.36 : x
  2. Step 2: Convert to fraction form
    191,893.56/287,838.32 = 65,532.36/x
  3. Step 3: Cross multiply
    191,893.56x = 287,838.32 × 65,532.36
  4. Step 4: Simplify right side
    191,893.56x = 18,862,724,080.37
  5. Step 5: Solve for x
    x = 18,862,724,080.37/191,893.56
  6. Step 6: Final answer
    x = 98,297.85

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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.