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Finding the Fourth Proportional to 208,860.30, 313,290.45 and 96,540.30

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Solution

The fourth proportional to 208,860.30, 313,290.45 and 96,540.30 is: 144,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,860.30 : 313,290.45 = 96,540.30 : x
  2. Step 2: Convert to fraction form
    208,860.30/313,290.45 = 96,540.30/x
  3. Step 3: Cross multiply
    208,860.30x = 313,290.45 × 96,540.30
  4. Step 4: Simplify right side
    208,860.30x = 30,245,154,030.14
  5. Step 5: Solve for x
    x = 30,245,154,030.14/208,860.30
  6. Step 6: Final answer
    x = 144,810.45

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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.