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Finding the Fourth Proportional to 216,031.74, 298,101.19 and 119,233.81

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Solution

The fourth proportional to 216,031.74, 298,101.19 and 119,233.81 is: 164,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,031.74 : 298,101.19 = 119,233.81 : x
  2. Step 2: Convert to fraction form
    216,031.74/298,101.19 = 119,233.81/x
  3. Step 3: Cross multiply
    216,031.74x = 298,101.19 × 119,233.81
  4. Step 4: Simplify right side
    216,031.74x = 35,543,740,649.23
  5. Step 5: Solve for x
    x = 35,543,740,649.23/216,031.74
  6. Step 6: Final answer
    x = 164,530.18

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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.