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Finding the Fourth Proportional to 216,022.92, 298,097.44 and 135,447

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Solution

The fourth proportional to 216,022.92, 298,097.44 and 135,447 is: 186,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,022.92 : 298,097.44 = 135,447 : x
  2. Step 2: Convert to fraction form
    216,022.92/298,097.44 = 135,447/x
  3. Step 3: Cross multiply
    216,022.92x = 298,097.44 × 135,447
  4. Step 4: Simplify right side
    216,022.92x = 40,376,403,955.68
  5. Step 5: Solve for x
    x = 40,376,403,955.68/216,022.92
  6. Step 6: Final answer
    x = 186,907.96

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1.5x scale

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.