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Finding the Fourth Proportional to 190,612.38, 263,038.36 and 105,737.34

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Solution

The fourth proportional to 190,612.38, 263,038.36 and 105,737.34 is: 145,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,612.38 : 263,038.36 = 105,737.34 : x
  2. Step 2: Convert to fraction form
    190,612.38/263,038.36 = 105,737.34/x
  3. Step 3: Cross multiply
    190,612.38x = 263,038.36 × 105,737.34
  4. Step 4: Simplify right side
    190,612.38x = 27,812,976,504.36
  5. Step 5: Solve for x
    x = 27,812,976,504.36/190,612.38
  6. Step 6: Final answer
    x = 145,913.80

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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.