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Finding the Fourth Proportional to 149,210.36, 205,937.90 and 85,548.60

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Solution

The fourth proportional to 149,210.36, 205,937.90 and 85,548.60 is: 118,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,210.36 : 205,937.90 = 85,548.60 : x
  2. Step 2: Convert to fraction form
    149,210.36/205,937.90 = 85,548.60/x
  3. Step 3: Cross multiply
    149,210.36x = 205,937.90 × 85,548.60
  4. Step 4: Simplify right side
    149,210.36x = 17,617,699,031.94
  5. Step 5: Solve for x
    x = 17,617,699,031.94/149,210.36
  6. Step 6: Final answer
    x = 118,072.89

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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.