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Finding the Fourth Proportional to 207,242.55, 286,004.93 and 116,593.83

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Solution

The fourth proportional to 207,242.55, 286,004.93 and 116,593.83 is: 160,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,242.55 : 286,004.93 = 116,593.83 : x
  2. Step 2: Convert to fraction form
    207,242.55/286,004.93 = 116,593.83/x
  3. Step 3: Cross multiply
    207,242.55x = 286,004.93 × 116,593.83
  4. Step 4: Simplify right side
    207,242.55x = 33,346,409,604.61
  5. Step 5: Solve for x
    x = 33,346,409,604.61/207,242.55
  6. Step 6: Final answer
    x = 160,905.23

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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.