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Finding the Fourth Proportional to 204,682.95, 282,483.25 and 114,053.67

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Solution

The fourth proportional to 204,682.95, 282,483.25 and 114,053.67 is: 157,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,682.95 : 282,483.25 = 114,053.67 : x
  2. Step 2: Convert to fraction form
    204,682.95/282,483.25 = 114,053.67/x
  3. Step 3: Cross multiply
    204,682.95x = 282,483.25 × 114,053.67
  4. Step 4: Simplify right side
    204,682.95x = 32,218,251,090.89
  5. Step 5: Solve for x
    x = 32,218,251,090.89/204,682.95
  6. Step 6: Final answer
    x = 157,405.64

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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.