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Finding the Fourth Proportional to 233,907.55, 322,828.82 and 153,568.11

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Solution

The fourth proportional to 233,907.55, 322,828.82 and 153,568.11 is: 211,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,907.55 : 322,828.82 = 153,568.11 : x
  2. Step 2: Convert to fraction form
    233,907.55/322,828.82 = 153,568.11/x
  3. Step 3: Cross multiply
    233,907.55x = 322,828.82 × 153,568.11
  4. Step 4: Simplify right side
    233,907.55x = 49,576,211,740.93
  5. Step 5: Solve for x
    x = 49,576,211,740.93/233,907.55
  6. Step 6: Final answer
    x = 211,947.89

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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.