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Finding the Fourth Proportional to 100,770.95, 139,069.80 and 57,763.77

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Solution

The fourth proportional to 100,770.95, 139,069.80 and 57,763.77 is: 79,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,770.95 : 139,069.80 = 57,763.77 : x
  2. Step 2: Convert to fraction form
    100,770.95/139,069.80 = 57,763.77/x
  3. Step 3: Cross multiply
    100,770.95x = 139,069.80 × 57,763.77
  4. Step 4: Simplify right side
    100,770.95x = 8,033,195,941.15
  5. Step 5: Solve for x
    x = 8,033,195,941.15/100,770.95
  6. Step 6: Final answer
    x = 79,717.38

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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.