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Finding the Fourth Proportional to 194,415.50, 291,623.26 and 46,671.50

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Solution

The fourth proportional to 194,415.50, 291,623.26 and 46,671.50 is: 70,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,415.50 : 291,623.26 = 46,671.50 : x
  2. Step 2: Convert to fraction form
    194,415.50/291,623.26 = 46,671.50/x
  3. Step 3: Cross multiply
    194,415.50x = 291,623.26 × 46,671.50
  4. Step 4: Simplify right side
    194,415.50x = 13,610,494,979.09
  5. Step 5: Solve for x
    x = 13,610,494,979.09/194,415.50
  6. Step 6: Final answer
    x = 70,007.25

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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.