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Finding the Fourth Proportional to 207,838.66, 286,792.97 and 117,189.23

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Solution

The fourth proportional to 207,838.66, 286,792.97 and 117,189.23 is: 161,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,838.66 : 286,792.97 = 117,189.23 : x
  2. Step 2: Convert to fraction form
    207,838.66/286,792.97 = 117,189.23/x
  3. Step 3: Cross multiply
    207,838.66x = 286,792.97 × 117,189.23
  4. Step 4: Simplify right side
    207,838.66x = 33,609,046,182.72
  5. Step 5: Solve for x
    x = 33,609,046,182.72/207,838.66
  6. Step 6: Final answer
    x = 161,707.39

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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.