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Finding the Fourth Proportional to 304,178.63, 456,235.07 and 101,751.80

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Solution

The fourth proportional to 304,178.63, 456,235.07 and 101,751.80 is: 152,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,178.63 : 456,235.07 = 101,751.80 : x
  2. Step 2: Convert to fraction form
    304,178.63/456,235.07 = 101,751.80/x
  3. Step 3: Cross multiply
    304,178.63x = 456,235.07 × 101,751.80
  4. Step 4: Simplify right side
    304,178.63x = 46,422,736,805.69
  5. Step 5: Solve for x
    x = 46,422,736,805.69/304,178.63
  6. Step 6: Final answer
    x = 152,616.70

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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.