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Finding the Fourth Proportional to 214,122.09, 295,627.14 and 137,675.52

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Solution

The fourth proportional to 214,122.09, 295,627.14 and 137,675.52 is: 190,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,122.09 : 295,627.14 = 137,675.52 : x
  2. Step 2: Convert to fraction form
    214,122.09/295,627.14 = 137,675.52/x
  3. Step 3: Cross multiply
    214,122.09x = 295,627.14 × 137,675.52
  4. Step 4: Simplify right side
    214,122.09x = 40,700,620,225.61
  5. Step 5: Solve for x
    x = 40,700,620,225.61/214,122.09
  6. Step 6: Final answer
    x = 190,081.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.