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Finding the Fourth Proportional to 189,542.36, 284,477.30 and 77,284.46

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Solution

The fourth proportional to 189,542.36, 284,477.30 and 77,284.46 is: 115,993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,542.36 : 284,477.30 = 77,284.46 : x
  2. Step 2: Convert to fraction form
    189,542.36/284,477.30 = 77,284.46/x
  3. Step 3: Cross multiply
    189,542.36x = 284,477.30 × 77,284.46
  4. Step 4: Simplify right side
    189,542.36x = 21,985,674,126.34
  5. Step 5: Solve for x
    x = 21,985,674,126.34/189,542.36
  6. Step 6: Final answer
    x = 115,993.46

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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.