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Finding the Fourth Proportional to 190,098.50, 285,516.81 and 139,980.66

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Solution

The fourth proportional to 190,098.50, 285,516.81 and 139,980.66 is: 210,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,098.50 : 285,516.81 = 139,980.66 : x
  2. Step 2: Convert to fraction form
    190,098.50/285,516.81 = 139,980.66/x
  3. Step 3: Cross multiply
    190,098.50x = 285,516.81 × 139,980.66
  4. Step 4: Simplify right side
    190,098.50x = 39,966,833,040.10
  5. Step 5: Solve for x
    x = 39,966,833,040.10/190,098.50
  6. Step 6: Final answer
    x = 210,242.75

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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.