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Finding the Fourth Proportional to 213,958.71, 295,266.65 and 117,161.01

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Solution

The fourth proportional to 213,958.71, 295,266.65 and 117,161.01 is: 161,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,958.71 : 295,266.65 = 117,161.01 : x
  2. Step 2: Convert to fraction form
    213,958.71/295,266.65 = 117,161.01/x
  3. Step 3: Cross multiply
    213,958.71x = 295,266.65 × 117,161.01
  4. Step 4: Simplify right side
    213,958.71x = 34,593,738,347.51
  5. Step 5: Solve for x
    x = 34,593,738,347.51/213,958.71
  6. Step 6: Final answer
    x = 161,684.18

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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.