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Finding the Fourth Proportional to 312,892.53, 469,356.96 and 120,768.03

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Solution

The fourth proportional to 312,892.53, 469,356.96 and 120,768.03 is: 181,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,892.53 : 469,356.96 = 120,768.03 : x
  2. Step 2: Convert to fraction form
    312,892.53/469,356.96 = 120,768.03/x
  3. Step 3: Cross multiply
    312,892.53x = 469,356.96 × 120,768.03
  4. Step 4: Simplify right side
    312,892.53x = 56,683,315,425.99
  5. Step 5: Solve for x
    x = 56,683,315,425.99/312,892.53
  6. Step 6: Final answer
    x = 181,159.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.