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Finding the Fourth Proportional to 205,878.53, 284,109.43 and 113,989.01

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Solution

The fourth proportional to 205,878.53, 284,109.43 and 113,989.01 is: 157,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,878.53 : 284,109.43 = 113,989.01 : x
  2. Step 2: Convert to fraction form
    205,878.53/284,109.43 = 113,989.01/x
  3. Step 3: Cross multiply
    205,878.53x = 284,109.43 × 113,989.01
  4. Step 4: Simplify right side
    205,878.53x = 32,385,354,042.83
  5. Step 5: Solve for x
    x = 32,385,354,042.83/205,878.53
  6. Step 6: Final answer
    x = 157,303.21

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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.