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Finding the Fourth Proportional to 202,801.93, 304,223.76 and 76,548.52

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Solution

The fourth proportional to 202,801.93, 304,223.76 and 76,548.52 is: 114,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,801.93 : 304,223.76 = 76,548.52 : x
  2. Step 2: Convert to fraction form
    202,801.93/304,223.76 = 76,548.52/x
  3. Step 3: Cross multiply
    202,801.93x = 304,223.76 × 76,548.52
  4. Step 4: Simplify right side
    202,801.93x = 23,287,878,576.84
  5. Step 5: Solve for x
    x = 23,287,878,576.84/202,801.93
  6. Step 6: Final answer
    x = 114,830.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.