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Finding the Fourth Proportional to 204,684.96, 282,486 and 114,055.68

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Solution

The fourth proportional to 204,684.96, 282,486 and 114,055.68 is: 157,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,684.96 : 282,486 = 114,055.68 : x
  2. Step 2: Convert to fraction form
    204,684.96/282,486 = 114,055.68/x
  3. Step 3: Cross multiply
    204,684.96x = 282,486 × 114,055.68
  4. Step 4: Simplify right side
    204,684.96x = 32,219,132,820.48
  5. Step 5: Solve for x
    x = 32,219,132,820.48/204,684.96
  6. Step 6: Final answer
    x = 157,408.40

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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.