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Finding the Fourth Proportional to 202,214.98, 279,055.84 and 111,576.58

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Solution

The fourth proportional to 202,214.98, 279,055.84 and 111,576.58 is: 153,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,214.98 : 279,055.84 = 111,576.58 : x
  2. Step 2: Convert to fraction form
    202,214.98/279,055.84 = 111,576.58/x
  3. Step 3: Cross multiply
    202,214.98x = 279,055.84 × 111,576.58
  4. Step 4: Simplify right side
    202,214.98x = 31,136,096,256.23
  5. Step 5: Solve for x
    x = 31,136,096,256.23/202,214.98
  6. Step 6: Final answer
    x = 153,975.22

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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.