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Finding the Fourth Proportional to 207,364.40, 286,162.56 and 116,721.02

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Solution

The fourth proportional to 207,364.40, 286,162.56 and 116,721.02 is: 161,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364.40 : 286,162.56 = 116,721.02 : x
  2. Step 2: Convert to fraction form
    207,364.40/286,162.56 = 116,721.02/x
  3. Step 3: Cross multiply
    207,364.40x = 286,162.56 × 116,721.02
  4. Step 4: Simplify right side
    207,364.40x = 33,401,185,889.01
  5. Step 5: Solve for x
    x = 33,401,185,889.01/207,364.40
  6. Step 6: Final answer
    x = 161,074.83

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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.