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Finding the Fourth Proportional to 207,465, 286,284.66 and 116,792

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Solution

The fourth proportional to 207,465, 286,284.66 and 116,792 is: 161,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,465 : 286,284.66 = 116,792 : x
  2. Step 2: Convert to fraction form
    207,465/286,284.66 = 116,792/x
  3. Step 3: Cross multiply
    207,465x = 286,284.66 × 116,792
  4. Step 4: Simplify right side
    207,465x = 33,435,758,010.72
  5. Step 5: Solve for x
    x = 33,435,758,010.72/207,465
  6. Step 6: Final answer
    x = 161,163.37

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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.