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Finding the Fourth Proportional to 233,804.07, 322,437.78 and 153,202.32

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Solution

The fourth proportional to 233,804.07, 322,437.78 and 153,202.32 is: 211,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,804.07 : 322,437.78 = 153,202.32 : x
  2. Step 2: Convert to fraction form
    233,804.07/322,437.78 = 153,202.32/x
  3. Step 3: Cross multiply
    233,804.07x = 322,437.78 × 153,202.32
  4. Step 4: Simplify right side
    233,804.07x = 49,398,215,951.65
  5. Step 5: Solve for x
    x = 49,398,215,951.65/233,804.07
  6. Step 6: Final answer
    x = 211,280.39

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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.