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Finding the Fourth Proportional to 268,699.14, 370,804.76 and 147,837.78

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Solution

The fourth proportional to 268,699.14, 370,804.76 and 147,837.78 is: 204,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,699.14 : 370,804.76 = 147,837.78 : x
  2. Step 2: Convert to fraction form
    268,699.14/370,804.76 = 147,837.78/x
  3. Step 3: Cross multiply
    268,699.14x = 370,804.76 × 147,837.78
  4. Step 4: Simplify right side
    268,699.14x = 54,818,952,531.83
  5. Step 5: Solve for x
    x = 54,818,952,531.83/268,699.14
  6. Step 6: Final answer
    x = 204,016.11

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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.