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Finding the Fourth Proportional to 164,434.59, 246,624.09 and 46,078.70

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Solution

The fourth proportional to 164,434.59, 246,624.09 and 46,078.70 is: 69,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,434.59 : 246,624.09 = 46,078.70 : x
  2. Step 2: Convert to fraction form
    164,434.59/246,624.09 = 46,078.70/x
  3. Step 3: Cross multiply
    164,434.59x = 246,624.09 × 46,078.70
  4. Step 4: Simplify right side
    164,434.59x = 11,364,118,072.44
  5. Step 5: Solve for x
    x = 11,364,118,072.44/164,434.59
  6. Step 6: Final answer
    x = 69,110.26

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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.