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Finding the Fourth Proportional to 190,956, 286,434 and 66,297

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Solution

The fourth proportional to 190,956, 286,434 and 66,297 is: 99,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,956 : 286,434 = 66,297 : x
  2. Step 2: Convert to fraction form
    190,956/286,434 = 66,297/x
  3. Step 3: Cross multiply
    190,956x = 286,434 × 66,297
  4. Step 4: Simplify right side
    190,956x = 18,989,714,898
  5. Step 5: Solve for x
    x = 18,989,714,898/190,956
  6. Step 6: Final answer
    x = 99,445.50

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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.