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Finding the Fourth Proportional to 304,130.48, 419,670.46 and 168,145.82

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Solution

The fourth proportional to 304,130.48, 419,670.46 and 168,145.82 is: 232,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,130.48 : 419,670.46 = 168,145.82 : x
  2. Step 2: Convert to fraction form
    304,130.48/419,670.46 = 168,145.82/x
  3. Step 3: Cross multiply
    304,130.48x = 419,670.46 × 168,145.82
  4. Step 4: Simplify right side
    304,130.48x = 70,565,833,626.48
  5. Step 5: Solve for x
    x = 70,565,833,626.48/304,130.48
  6. Step 6: Final answer
    x = 232,024.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.