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Finding the Fourth Proportional to 216,246.84, 298,419.45 and 119,457.35

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Solution

The fourth proportional to 216,246.84, 298,419.45 and 119,457.35 is: 164,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,246.84 : 298,419.45 = 119,457.35 : x
  2. Step 2: Convert to fraction form
    216,246.84/298,419.45 = 119,457.35/x
  3. Step 3: Cross multiply
    216,246.84x = 298,419.45 × 119,457.35
  4. Step 4: Simplify right side
    216,246.84x = 35,648,395,193.36
  5. Step 5: Solve for x
    x = 35,648,395,193.36/216,246.84
  6. Step 6: Final answer
    x = 164,850.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.