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Finding the Fourth Proportional to 214,488.36, 296,007.96 and 123,848.15

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Solution

The fourth proportional to 214,488.36, 296,007.96 and 123,848.15 is: 170,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,488.36 : 296,007.96 = 123,848.15 : x
  2. Step 2: Convert to fraction form
    214,488.36/296,007.96 = 123,848.15/x
  3. Step 3: Cross multiply
    214,488.36x = 296,007.96 × 123,848.15
  4. Step 4: Simplify right side
    214,488.36x = 36,660,038,231.27
  5. Step 5: Solve for x
    x = 36,660,038,231.27/214,488.36
  6. Step 6: Final answer
    x = 170,918.54

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