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Finding the Fourth Proportional to 209,764.40, 314,646.60 and 195,767.60

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Solution

The fourth proportional to 209,764.40, 314,646.60 and 195,767.60 is: 293,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,764.40 : 314,646.60 = 195,767.60 : x
  2. Step 2: Convert to fraction form
    209,764.40/314,646.60 = 195,767.60/x
  3. Step 3: Cross multiply
    209,764.40x = 314,646.60 × 195,767.60
  4. Step 4: Simplify right side
    209,764.40x = 61,597,609,730.16
  5. Step 5: Solve for x
    x = 61,597,609,730.16/209,764.40
  6. Step 6: Final answer
    x = 293,651.40

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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.