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Finding the Fourth Proportional to 140,522.98, 193,926.32 and 76,860.77

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Solution

The fourth proportional to 140,522.98, 193,926.32 and 76,860.77 is: 106,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,522.98 : 193,926.32 = 76,860.77 : x
  2. Step 2: Convert to fraction form
    140,522.98/193,926.32 = 76,860.77/x
  3. Step 3: Cross multiply
    140,522.98x = 193,926.32 × 76,860.77
  4. Step 4: Simplify right side
    140,522.98x = 14,905,326,278.47
  5. Step 5: Solve for x
    x = 14,905,326,278.47/140,522.98
  6. Step 6: Final answer
    x = 106,070.38

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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.