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Finding the Fourth Proportional to 149,137.26, 205,803.36 and 85,430.76

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Solution

The fourth proportional to 149,137.26, 205,803.36 and 85,430.76 is: 117,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,137.26 : 205,803.36 = 85,430.76 : x
  2. Step 2: Convert to fraction form
    149,137.26/205,803.36 = 85,430.76/x
  3. Step 3: Cross multiply
    149,137.26x = 205,803.36 × 85,430.76
  4. Step 4: Simplify right side
    149,137.26x = 17,581,937,455.35
  5. Step 5: Solve for x
    x = 17,581,937,455.35/149,137.26
  6. Step 6: Final answer
    x = 117,890.98

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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.