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Finding the Fourth Proportional to 100,761, 139,050.14 and 55,437.98

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Solution

The fourth proportional to 100,761, 139,050.14 and 55,437.98 is: 76,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,761 : 139,050.14 = 55,437.98 : x
  2. Step 2: Convert to fraction form
    100,761/139,050.14 = 55,437.98/x
  3. Step 3: Cross multiply
    100,761x = 139,050.14 × 55,437.98
  4. Step 4: Simplify right side
    100,761x = 7,708,658,880.32
  5. Step 5: Solve for x
    x = 7,708,658,880.32/100,761
  6. Step 6: Final answer
    x = 76,504.39

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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.