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Finding the Fourth Proportional to 207,840.66, 286,795.74 and 117,191.22

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Solution

The fourth proportional to 207,840.66, 286,795.74 and 117,191.22 is: 161,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,840.66 : 286,795.74 = 117,191.22 : x
  2. Step 2: Convert to fraction form
    207,840.66/286,795.74 = 117,191.22/x
  3. Step 3: Cross multiply
    207,840.66x = 286,795.74 × 117,191.22
  4. Step 4: Simplify right side
    207,840.66x = 33,609,942,661.40
  5. Step 5: Solve for x
    x = 33,609,942,661.40/207,840.66
  6. Step 6: Final answer
    x = 161,710.14

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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.