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Finding the Fourth Proportional to 134,408.68, 185,486.52 and 77,852.80

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Solution

The fourth proportional to 134,408.68, 185,486.52 and 77,852.80 is: 107,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,408.68 : 185,486.52 = 77,852.80 : x
  2. Step 2: Convert to fraction form
    134,408.68/185,486.52 = 77,852.80/x
  3. Step 3: Cross multiply
    134,408.68x = 185,486.52 × 77,852.80
  4. Step 4: Simplify right side
    134,408.68x = 14,440,644,944.26
  5. Step 5: Solve for x
    x = 14,440,644,944.26/134,408.68
  6. Step 6: Final answer
    x = 107,438.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.