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Finding the Fourth Proportional to 191,136.84, 263,784.80 and 106,261.80

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Solution

The fourth proportional to 191,136.84, 263,784.80 and 106,261.80 is: 146,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,136.84 : 263,784.80 = 106,261.80 : x
  2. Step 2: Convert to fraction form
    191,136.84/263,784.80 = 106,261.80/x
  3. Step 3: Cross multiply
    191,136.84x = 263,784.80 × 106,261.80
  4. Step 4: Simplify right side
    191,136.84x = 28,030,247,660.64
  5. Step 5: Solve for x
    x = 28,030,247,660.64/191,136.84
  6. Step 6: Final answer
    x = 146,650.16

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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.