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Finding the Fourth Proportional to 190,099.04, 262,333.50 and 105,214.28

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Solution

The fourth proportional to 190,099.04, 262,333.50 and 105,214.28 is: 145,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,099.04 : 262,333.50 = 105,214.28 : x
  2. Step 2: Convert to fraction form
    190,099.04/262,333.50 = 105,214.28/x
  3. Step 3: Cross multiply
    190,099.04x = 262,333.50 × 105,214.28
  4. Step 4: Simplify right side
    190,099.04x = 27,601,230,322.38
  5. Step 5: Solve for x
    x = 27,601,230,322.38/190,099.04
  6. Step 6: Final answer
    x = 145,193.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.