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Finding the Fourth Proportional to 301,893.50, 452,812.49 and 102,191.06

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Solution

The fourth proportional to 301,893.50, 452,812.49 and 102,191.06 is: 153,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,893.50 : 452,812.49 = 102,191.06 : x
  2. Step 2: Convert to fraction form
    301,893.50/452,812.49 = 102,191.06/x
  3. Step 3: Cross multiply
    301,893.50x = 452,812.49 × 102,191.06
  4. Step 4: Simplify right side
    301,893.50x = 46,273,388,334.34
  5. Step 5: Solve for x
    x = 46,273,388,334.34/301,893.50
  6. Step 6: Final answer
    x = 153,277.19

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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.