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Finding the Fourth Proportional to 190,045.14, 285,166.08 and 137,885.16

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Solution

The fourth proportional to 190,045.14, 285,166.08 and 137,885.16 is: 206,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,045.14 : 285,166.08 = 137,885.16 : x
  2. Step 2: Convert to fraction form
    190,045.14/285,166.08 = 137,885.16/x
  3. Step 3: Cross multiply
    190,045.14x = 285,166.08 × 137,885.16
  4. Step 4: Simplify right side
    190,045.14x = 39,320,170,567.37
  5. Step 5: Solve for x
    x = 39,320,170,567.37/190,045.14
  6. Step 6: Final answer
    x = 206,899.11

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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.