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Finding the Fourth Proportional to 197,368.60, 296,071.66 and 55,213.90

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Solution

The fourth proportional to 197,368.60, 296,071.66 and 55,213.90 is: 82,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,368.60 : 296,071.66 = 55,213.90 : x
  2. Step 2: Convert to fraction form
    197,368.60/296,071.66 = 55,213.90/x
  3. Step 3: Cross multiply
    197,368.60x = 296,071.66 × 55,213.90
  4. Step 4: Simplify right side
    197,368.60x = 16,347,271,711.74
  5. Step 5: Solve for x
    x = 16,347,271,711.74/197,368.60
  6. Step 6: Final answer
    x = 82,826.10

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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.