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Finding the Fourth Proportional to 304,178.13, 456,234.32 and 101,751.29

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Solution

The fourth proportional to 304,178.13, 456,234.32 and 101,751.29 is: 152,615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,178.13 : 456,234.32 = 101,751.29 : x
  2. Step 2: Convert to fraction form
    304,178.13/456,234.32 = 101,751.29/x
  3. Step 3: Cross multiply
    304,178.13x = 456,234.32 × 101,751.29
  4. Step 4: Simplify right side
    304,178.13x = 46,422,430,602.27
  5. Step 5: Solve for x
    x = 46,422,430,602.27/304,178.13
  6. Step 6: Final answer
    x = 152,615.94

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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.