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Finding the Fourth Proportional to 217,069.19, 299,390.76 and 190,164.99

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Solution

The fourth proportional to 217,069.19, 299,390.76 and 190,164.99 is: 262,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,069.19 : 299,390.76 = 190,164.99 : x
  2. Step 2: Convert to fraction form
    217,069.19/299,390.76 = 190,164.99/x
  3. Step 3: Cross multiply
    217,069.19x = 299,390.76 × 190,164.99
  4. Step 4: Simplify right side
    217,069.19x = 56,933,640,881.49
  5. Step 5: Solve for x
    x = 56,933,640,881.49/217,069.19
  6. Step 6: Final answer
    x = 262,283.38

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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.