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Finding the Fourth Proportional to 253,893.49, 380,278.67 and 103,678.26

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Solution

The fourth proportional to 253,893.49, 380,278.67 and 103,678.26 is: 155,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,893.49 : 380,278.67 = 103,678.26 : x
  2. Step 2: Convert to fraction form
    253,893.49/380,278.67 = 103,678.26/x
  3. Step 3: Cross multiply
    253,893.49x = 380,278.67 × 103,678.26
  4. Step 4: Simplify right side
    253,893.49x = 39,426,630,820.71
  5. Step 5: Solve for x
    x = 39,426,630,820.71/253,893.49
  6. Step 6: Final answer
    x = 155,288.07

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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.