Home / 205,102.17-283,040.43-114,457.17

Finding the Fourth Proportional to 205,102.17, 283,040.43 and 114,457.17

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Solution

The fourth proportional to 205,102.17, 283,040.43 and 114,457.17 is: 157,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,102.17 : 283,040.43 = 114,457.17 : x
  2. Step 2: Convert to fraction form
    205,102.17/283,040.43 = 114,457.17/x
  3. Step 3: Cross multiply
    205,102.17x = 283,040.43 × 114,457.17
  4. Step 4: Simplify right side
    205,102.17x = 32,396,006,613.38
  5. Step 5: Solve for x
    x = 32,396,006,613.38/205,102.17
  6. Step 6: Final answer
    x = 157,950.58

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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.