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Finding the Fourth Proportional to 102,821.55, 141,897.61 and 57,499.44

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Solution

The fourth proportional to 102,821.55, 141,897.61 and 57,499.44 is: 79,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,821.55 : 141,897.61 = 57,499.44 : x
  2. Step 2: Convert to fraction form
    102,821.55/141,897.61 = 57,499.44/x
  3. Step 3: Cross multiply
    102,821.55x = 141,897.61 × 57,499.44
  4. Step 4: Simplify right side
    102,821.55x = 8,159,032,328.66
  5. Step 5: Solve for x
    x = 8,159,032,328.66/102,821.55
  6. Step 6: Final answer
    x = 79,351.38

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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.