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Finding the Fourth Proportional to 304,094.76, 455,699.24 and 146,138.66

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Solution

The fourth proportional to 304,094.76, 455,699.24 and 146,138.66 is: 218,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,094.76 : 455,699.24 = 146,138.66 : x
  2. Step 2: Convert to fraction form
    304,094.76/455,699.24 = 146,138.66/x
  3. Step 3: Cross multiply
    304,094.76x = 455,699.24 × 146,138.66
  4. Step 4: Simplify right side
    304,094.76x = 66,595,276,296.62
  5. Step 5: Solve for x
    x = 66,595,276,296.62/304,094.76
  6. Step 6: Final answer
    x = 218,995.15

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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.