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Finding the Fourth Proportional to 216,419.19, 298,652.91 and 120,926.67

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Solution

The fourth proportional to 216,419.19, 298,652.91 and 120,926.67 is: 166,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,419.19 : 298,652.91 = 120,926.67 : x
  2. Step 2: Convert to fraction form
    216,419.19/298,652.91 = 120,926.67/x
  3. Step 3: Cross multiply
    216,419.19x = 298,652.91 × 120,926.67
  4. Step 4: Simplify right side
    216,419.19x = 36,115,101,892.11
  5. Step 5: Solve for x
    x = 36,115,101,892.11/216,419.19
  6. Step 6: Final answer
    x = 166,875.69

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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.