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Finding the Fourth Proportional to 197,666.40, 272,779.74 and 107,022.39

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Solution

The fourth proportional to 197,666.40, 272,779.74 and 107,022.39 is: 147,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,666.40 : 272,779.74 = 107,022.39 : x
  2. Step 2: Convert to fraction form
    197,666.40/272,779.74 = 107,022.39/x
  3. Step 3: Cross multiply
    197,666.40x = 272,779.74 × 107,022.39
  4. Step 4: Simplify right side
    197,666.40x = 29,193,539,718.38
  5. Step 5: Solve for x
    x = 29,193,539,718.38/197,666.40
  6. Step 6: Final answer
    x = 147,690.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.