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Finding the Fourth Proportional to 304,173.86, 456,190.01 and 114,653.30

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Solution

The fourth proportional to 304,173.86, 456,190.01 and 114,653.30 is: 171,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,173.86 : 456,190.01 = 114,653.30 : x
  2. Step 2: Convert to fraction form
    304,173.86/456,190.01 = 114,653.30/x
  3. Step 3: Cross multiply
    304,173.86x = 456,190.01 × 114,653.30
  4. Step 4: Simplify right side
    304,173.86x = 52,303,687,219.32
  5. Step 5: Solve for x
    x = 52,303,687,219.32/304,173.86
  6. Step 6: Final answer
    x = 171,953.26

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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.