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Finding the Fourth Proportional to 139,014.64, 191,843.10 and 78,581.68

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Solution

The fourth proportional to 139,014.64, 191,843.10 and 78,581.68 is: 108,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,014.64 : 191,843.10 = 78,581.68 : x
  2. Step 2: Convert to fraction form
    139,014.64/191,843.10 = 78,581.68/x
  3. Step 3: Cross multiply
    139,014.64x = 191,843.10 × 78,581.68
  4. Step 4: Simplify right side
    139,014.64x = 15,075,353,094.41
  5. Step 5: Solve for x
    x = 15,075,353,094.41/139,014.64
  6. Step 6: Final answer
    x = 108,444.36

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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.