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Finding the Fourth Proportional to 197,967.89, 296,948.75 and 48,207.93

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Solution

The fourth proportional to 197,967.89, 296,948.75 and 48,207.93 is: 72,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,967.89 : 296,948.75 = 48,207.93 : x
  2. Step 2: Convert to fraction form
    197,967.89/296,948.75 = 48,207.93/x
  3. Step 3: Cross multiply
    197,967.89x = 296,948.75 × 48,207.93
  4. Step 4: Simplify right side
    197,967.89x = 14,315,283,811.22
  5. Step 5: Solve for x
    x = 14,315,283,811.22/197,967.89
  6. Step 6: Final answer
    x = 72,311.14

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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.