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Finding the Fourth Proportional to 208,415.34, 287,609.38 and 117,769.34

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Solution

The fourth proportional to 208,415.34, 287,609.38 and 117,769.34 is: 162,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,415.34 : 287,609.38 = 117,769.34 : x
  2. Step 2: Convert to fraction form
    208,415.34/287,609.38 = 117,769.34/x
  3. Step 3: Cross multiply
    208,415.34x = 287,609.38 × 117,769.34
  4. Step 4: Simplify right side
    208,415.34x = 33,871,566,860.41
  5. Step 5: Solve for x
    x = 33,871,566,860.41/208,415.34
  6. Step 6: Final answer
    x = 162,519.55

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1.5x scale

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.