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Finding the Fourth Proportional to 216,834.81, 298,945.35 and 177,930.14

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Solution

The fourth proportional to 216,834.81, 298,945.35 and 177,930.14 is: 245,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,834.81 : 298,945.35 = 177,930.14 : x
  2. Step 2: Convert to fraction form
    216,834.81/298,945.35 = 177,930.14/x
  3. Step 3: Cross multiply
    216,834.81x = 298,945.35 × 177,930.14
  4. Step 4: Simplify right side
    216,834.81x = 53,191,386,483.12
  5. Step 5: Solve for x
    x = 53,191,386,483.12/216,834.81
  6. Step 6: Final answer
    x = 245,308.34

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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.