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Finding the Fourth Proportional to 208,609.29, 312,166.71 and 180,626.22

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Solution

The fourth proportional to 208,609.29, 312,166.71 and 180,626.22 is: 270,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,609.29 : 312,166.71 = 180,626.22 : x
  2. Step 2: Convert to fraction form
    208,609.29/312,166.71 = 180,626.22/x
  3. Step 3: Cross multiply
    208,609.29x = 312,166.71 × 180,626.22
  4. Step 4: Simplify right side
    208,609.29x = 56,385,492,837.14
  5. Step 5: Solve for x
    x = 56,385,492,837.14/208,609.29
  6. Step 6: Final answer
    x = 270,292.34

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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.