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Finding the Fourth Proportional to 197,509.59, 296,430.30 and 85,274.64

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Solution

The fourth proportional to 197,509.59, 296,430.30 and 85,274.64 is: 127,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,509.59 : 296,430.30 = 85,274.64 : x
  2. Step 2: Convert to fraction form
    197,509.59/296,430.30 = 85,274.64/x
  3. Step 3: Cross multiply
    197,509.59x = 296,430.30 × 85,274.64
  4. Step 4: Simplify right side
    197,509.59x = 25,277,987,117.59
  5. Step 5: Solve for x
    x = 25,277,987,117.59/197,509.59
  6. Step 6: Final answer
    x = 127,983.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.