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Finding the Fourth Proportional to 209,415.76, 314,138.42 and 59,668.23

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Solution

The fourth proportional to 209,415.76, 314,138.42 and 59,668.23 is: 89,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,415.76 : 314,138.42 = 59,668.23 : x
  2. Step 2: Convert to fraction form
    209,415.76/314,138.42 = 59,668.23/x
  3. Step 3: Cross multiply
    209,415.76x = 314,138.42 × 59,668.23
  4. Step 4: Simplify right side
    209,415.76x = 18,744,083,496.40
  5. Step 5: Solve for x
    x = 18,744,083,496.40/209,415.76
  6. Step 6: Final answer
    x = 89,506.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.