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Finding the Fourth Proportional to 144,812.84, 199,833.46 and 84,393.32

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Solution

The fourth proportional to 144,812.84, 199,833.46 and 84,393.32 is: 116,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,812.84 : 199,833.46 = 84,393.32 : x
  2. Step 2: Convert to fraction form
    144,812.84/199,833.46 = 84,393.32/x
  3. Step 3: Cross multiply
    144,812.84x = 199,833.46 × 84,393.32
  4. Step 4: Simplify right side
    144,812.84x = 16,864,609,136.49
  5. Step 5: Solve for x
    x = 16,864,609,136.49/144,812.84
  6. Step 6: Final answer
    x = 116,457.97

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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.