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Finding the Fourth Proportional to 164,402.78, 226,851.52 and 99,838.44

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Solution

The fourth proportional to 164,402.78, 226,851.52 and 99,838.44 is: 137,762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,402.78 : 226,851.52 = 99,838.44 : x
  2. Step 2: Convert to fraction form
    164,402.78/226,851.52 = 99,838.44/x
  3. Step 3: Cross multiply
    164,402.78x = 226,851.52 × 99,838.44
  4. Step 4: Simplify right side
    164,402.78x = 22,648,501,868.43
  5. Step 5: Solve for x
    x = 22,648,501,868.43/164,402.78
  6. Step 6: Final answer
    x = 137,762.28

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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.