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Finding the Fourth Proportional to 201,811.50, 278,499.94 and 116,977.77

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Solution

The fourth proportional to 201,811.50, 278,499.94 and 116,977.77 is: 161,429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,811.50 : 278,499.94 = 116,977.77 : x
  2. Step 2: Convert to fraction form
    201,811.50/278,499.94 = 116,977.77/x
  3. Step 3: Cross multiply
    201,811.50x = 278,499.94 × 116,977.77
  4. Step 4: Simplify right side
    201,811.50x = 32,578,301,633.89
  5. Step 5: Solve for x
    x = 32,578,301,633.89/201,811.50
  6. Step 6: Final answer
    x = 161,429.36

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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.