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Finding the Fourth Proportional to 194,968, 292,453.60 and 47,224

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Solution

The fourth proportional to 194,968, 292,453.60 and 47,224 is: 70,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,968 : 292,453.60 = 47,224 : x
  2. Step 2: Convert to fraction form
    194,968/292,453.60 = 47,224/x
  3. Step 3: Cross multiply
    194,968x = 292,453.60 × 47,224
  4. Step 4: Simplify right side
    194,968x = 13,810,828,806.40
  5. Step 5: Solve for x
    x = 13,810,828,806.40/194,968
  6. Step 6: Final answer
    x = 70,836.39

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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.