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Finding the Fourth Proportional to 146,254.82, 219,390.02 and 46,422.82

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Solution

The fourth proportional to 146,254.82, 219,390.02 and 46,422.82 is: 69,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,254.82 : 219,390.02 = 46,422.82 : x
  2. Step 2: Convert to fraction form
    146,254.82/219,390.02 = 46,422.82/x
  3. Step 3: Cross multiply
    146,254.82x = 219,390.02 × 46,422.82
  4. Step 4: Simplify right side
    146,254.82x = 10,184,703,624.47
  5. Step 5: Solve for x
    x = 10,184,703,624.47/146,254.82
  6. Step 6: Final answer
    x = 69,636.71

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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.