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Finding the Fourth Proportional to 197,302.72, 296,028.60 and 118,471.72

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Solution

The fourth proportional to 197,302.72, 296,028.60 and 118,471.72 is: 177,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,302.72 : 296,028.60 = 118,471.72 : x
  2. Step 2: Convert to fraction form
    197,302.72/296,028.60 = 118,471.72/x
  3. Step 3: Cross multiply
    197,302.72x = 296,028.60 × 118,471.72
  4. Step 4: Simplify right side
    197,302.72x = 35,071,017,411.19
  5. Step 5: Solve for x
    x = 35,071,017,411.19/197,302.72
  6. Step 6: Final answer
    x = 177,752.33

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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.