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Finding the Fourth Proportional to 201,099.10, 277,519.04 and 110,457.16

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Solution

The fourth proportional to 201,099.10, 277,519.04 and 110,457.16 is: 152,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,099.10 : 277,519.04 = 110,457.16 : x
  2. Step 2: Convert to fraction form
    201,099.10/277,519.04 = 110,457.16/x
  3. Step 3: Cross multiply
    201,099.10x = 277,519.04 × 110,457.16
  4. Step 4: Simplify right side
    201,099.10x = 30,653,965,004.33
  5. Step 5: Solve for x
    x = 30,653,965,004.33/201,099.10
  6. Step 6: Final answer
    x = 152,432.13

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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.