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Finding the Fourth Proportional to 137,213.40, 205,416.90 and 102,307.80

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Solution

The fourth proportional to 137,213.40, 205,416.90 and 102,307.80 is: 153,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,213.40 : 205,416.90 = 102,307.80 : x
  2. Step 2: Convert to fraction form
    137,213.40/205,416.90 = 102,307.80/x
  3. Step 3: Cross multiply
    137,213.40x = 205,416.90 × 102,307.80
  4. Step 4: Simplify right side
    137,213.40x = 21,015,751,121.82
  5. Step 5: Solve for x
    x = 21,015,751,121.82/137,213.40
  6. Step 6: Final answer
    x = 153,161.07

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