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Finding the Fourth Proportional to 183,866.10, 253,729.33 and 102,193.95

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Solution

The fourth proportional to 183,866.10, 253,729.33 and 102,193.95 is: 141,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,866.10 : 253,729.33 = 102,193.95 : x
  2. Step 2: Convert to fraction form
    183,866.10/253,729.33 = 102,193.95/x
  3. Step 3: Cross multiply
    183,866.10x = 253,729.33 × 102,193.95
  4. Step 4: Simplify right side
    183,866.10x = 25,929,602,463.55
  5. Step 5: Solve for x
    x = 25,929,602,463.55/183,866.10
  6. Step 6: Final answer
    x = 141,024.38

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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.