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Finding the Fourth Proportional to 216,439.74, 298,681.08 and 120,947.22

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Solution

The fourth proportional to 216,439.74, 298,681.08 and 120,947.22 is: 166,903.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,439.74 : 298,681.08 = 120,947.22 : x
  2. Step 2: Convert to fraction form
    216,439.74/298,681.08 = 120,947.22/x
  3. Step 3: Cross multiply
    216,439.74x = 298,681.08 × 120,947.22
  4. Step 4: Simplify right side
    216,439.74x = 36,124,646,292.60
  5. Step 5: Solve for x
    x = 36,124,646,292.60/216,439.74
  6. Step 6: Final answer
    x = 166,903.94

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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.