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Finding the Fourth Proportional to 194,792.10, 292,188.15 and 89,816.10

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Solution

The fourth proportional to 194,792.10, 292,188.15 and 89,816.10 is: 134,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,792.10 : 292,188.15 = 89,816.10 : x
  2. Step 2: Convert to fraction form
    194,792.10/292,188.15 = 89,816.10/x
  3. Step 3: Cross multiply
    194,792.10x = 292,188.15 × 89,816.10
  4. Step 4: Simplify right side
    194,792.10x = 26,243,200,099.22
  5. Step 5: Solve for x
    x = 26,243,200,099.22/194,792.10
  6. Step 6: Final answer
    x = 134,724.15

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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.