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Finding the Fourth Proportional to 277,322.24, 415,983.36 and 99,825.32

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Solution

The fourth proportional to 277,322.24, 415,983.36 and 99,825.32 is: 149,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,322.24 : 415,983.36 = 99,825.32 : x
  2. Step 2: Convert to fraction form
    277,322.24/415,983.36 = 99,825.32/x
  3. Step 3: Cross multiply
    277,322.24x = 415,983.36 × 99,825.32
  4. Step 4: Simplify right side
    277,322.24x = 41,525,672,026.68
  5. Step 5: Solve for x
    x = 41,525,672,026.68/277,322.24
  6. Step 6: Final answer
    x = 149,737.98

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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.