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Finding the Fourth Proportional to 204,842, 282,683.13 and 114,203.66

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Solution

The fourth proportional to 204,842, 282,683.13 and 114,203.66 is: 157,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,842 : 282,683.13 = 114,203.66 : x
  2. Step 2: Convert to fraction form
    204,842/282,683.13 = 114,203.66/x
  3. Step 3: Cross multiply
    204,842x = 282,683.13 × 114,203.66
  4. Step 4: Simplify right side
    204,842x = 32,283,448,066.26
  5. Step 5: Solve for x
    x = 32,283,448,066.26/204,842
  6. Step 6: Final answer
    x = 157,601.70

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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.