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Finding the Fourth Proportional to 270,538.87, 405,804.20 and 93,047.42

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Solution

The fourth proportional to 270,538.87, 405,804.20 and 93,047.42 is: 139,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,538.87 : 405,804.20 = 93,047.42 : x
  2. Step 2: Convert to fraction form
    270,538.87/405,804.20 = 93,047.42/x
  3. Step 3: Cross multiply
    270,538.87x = 405,804.20 × 93,047.42
  4. Step 4: Simplify right side
    270,538.87x = 37,759,033,835.16
  5. Step 5: Solve for x
    x = 37,759,033,835.16/270,538.87
  6. Step 6: Final answer
    x = 139,569.72

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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.