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Finding the Fourth Proportional to 190,897.68, 263,431.59 and 106,020.21

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Solution

The fourth proportional to 190,897.68, 263,431.59 and 106,020.21 is: 146,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,897.68 : 263,431.59 = 106,020.21 : x
  2. Step 2: Convert to fraction form
    190,897.68/263,431.59 = 106,020.21/x
  3. Step 3: Cross multiply
    190,897.68x = 263,431.59 × 106,020.21
  4. Step 4: Simplify right side
    190,897.68x = 27,929,072,492.43
  5. Step 5: Solve for x
    x = 27,929,072,492.43/190,897.68
  6. Step 6: Final answer
    x = 146,303.89

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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.