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Finding the Fourth Proportional to 225,686.94, 338,563.08 and 120,448.50

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Solution

The fourth proportional to 225,686.94, 338,563.08 and 120,448.50 is: 180,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,686.94 : 338,563.08 = 120,448.50 : x
  2. Step 2: Convert to fraction form
    225,686.94/338,563.08 = 120,448.50/x
  3. Step 3: Cross multiply
    225,686.94x = 338,563.08 × 120,448.50
  4. Step 4: Simplify right side
    225,686.94x = 40,779,415,141.38
  5. Step 5: Solve for x
    x = 40,779,415,141.38/225,686.94
  6. Step 6: Final answer
    x = 180,690.19

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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.