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Finding the Fourth Proportional to 194,858.50, 292,288.02 and 47,114.50

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Solution

The fourth proportional to 194,858.50, 292,288.02 and 47,114.50 is: 70,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,858.50 : 292,288.02 = 47,114.50 : x
  2. Step 2: Convert to fraction form
    194,858.50/292,288.02 = 47,114.50/x
  3. Step 3: Cross multiply
    194,858.50x = 292,288.02 × 47,114.50
  4. Step 4: Simplify right side
    194,858.50x = 13,771,003,918.29
  5. Step 5: Solve for x
    x = 13,771,003,918.29/194,858.50
  6. Step 6: Final answer
    x = 70,671.82

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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.