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Finding the Fourth Proportional to 204,992.16, 282,888.72 and 115,567.52

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Solution

The fourth proportional to 204,992.16, 282,888.72 and 115,567.52 is: 159,482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,992.16 : 282,888.72 = 115,567.52 : x
  2. Step 2: Convert to fraction form
    204,992.16/282,888.72 = 115,567.52/x
  3. Step 3: Cross multiply
    204,992.16x = 282,888.72 × 115,567.52
  4. Step 4: Simplify right side
    204,992.16x = 32,692,747,806.37
  5. Step 5: Solve for x
    x = 32,692,747,806.37/204,992.16
  6. Step 6: Final answer
    x = 159,482.92

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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.