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Finding the Fourth Proportional to 316,277.20, 474,415.80 and 105,893.20

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Solution

The fourth proportional to 316,277.20, 474,415.80 and 105,893.20 is: 158,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,277.20 : 474,415.80 = 105,893.20 : x
  2. Step 2: Convert to fraction form
    316,277.20/474,415.80 = 105,893.20/x
  3. Step 3: Cross multiply
    316,277.20x = 474,415.80 × 105,893.20
  4. Step 4: Simplify right side
    316,277.20x = 50,237,407,192.56
  5. Step 5: Solve for x
    x = 50,237,407,192.56/316,277.20
  6. Step 6: Final answer
    x = 158,839.80

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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.