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Finding the Fourth Proportional to 190,509.68, 285,775.32 and 57,408.32

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Solution

The fourth proportional to 190,509.68, 285,775.32 and 57,408.32 is: 86,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,509.68 : 285,775.32 = 57,408.32 : x
  2. Step 2: Convert to fraction form
    190,509.68/285,775.32 = 57,408.32/x
  3. Step 3: Cross multiply
    190,509.68x = 285,775.32 × 57,408.32
  4. Step 4: Simplify right side
    190,509.68x = 16,405,881,018.66
  5. Step 5: Solve for x
    x = 16,405,881,018.66/190,509.68
  6. Step 6: Final answer
    x = 86,115.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.