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Finding the Fourth Proportional to 216,064.35, 298,141.29 and 120,575.07

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Solution

The fourth proportional to 216,064.35, 298,141.29 and 120,575.07 is: 166,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,064.35 : 298,141.29 = 120,575.07 : x
  2. Step 2: Convert to fraction form
    216,064.35/298,141.29 = 120,575.07/x
  3. Step 3: Cross multiply
    216,064.35x = 298,141.29 × 120,575.07
  4. Step 4: Simplify right side
    216,064.35x = 35,948,407,363.80
  5. Step 5: Solve for x
    x = 35,948,407,363.80/216,064.35
  6. Step 6: Final answer
    x = 166,378.25

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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.