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Finding the Fourth Proportional to 292,567.97, 438,868.35 and 82,189.50

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Solution

The fourth proportional to 292,567.97, 438,868.35 and 82,189.50 is: 123,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,567.97 : 438,868.35 = 82,189.50 : x
  2. Step 2: Convert to fraction form
    292,567.97/438,868.35 = 82,189.50/x
  3. Step 3: Cross multiply
    292,567.97x = 438,868.35 × 82,189.50
  4. Step 4: Simplify right side
    292,567.97x = 36,070,370,252.33
  5. Step 5: Solve for x
    x = 36,070,370,252.33/292,567.97
  6. Step 6: Final answer
    x = 123,288.86

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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.