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Finding the Fourth Proportional to 194,969, 292,455.10 and 47,225

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Solution

The fourth proportional to 194,969, 292,455.10 and 47,225 is: 70,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,969 : 292,455.10 = 47,225 : x
  2. Step 2: Convert to fraction form
    194,969/292,455.10 = 47,225/x
  3. Step 3: Cross multiply
    194,969x = 292,455.10 × 47,225
  4. Step 4: Simplify right side
    194,969x = 13,811,192,097.50
  5. Step 5: Solve for x
    x = 13,811,192,097.50/194,969
  6. Step 6: Final answer
    x = 70,837.89

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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.