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Finding the Fourth Proportional to 292,563.84, 438,862.16 and 82,185.38

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Solution

The fourth proportional to 292,563.84, 438,862.16 and 82,185.38 is: 123,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,563.84 : 438,862.16 = 82,185.38 : x
  2. Step 2: Convert to fraction form
    292,563.84/438,862.16 = 82,185.38/x
  3. Step 3: Cross multiply
    292,563.84x = 438,862.16 × 82,185.38
  4. Step 4: Simplify right side
    292,563.84x = 36,068,051,398.37
  5. Step 5: Solve for x
    x = 36,068,051,398.37/292,563.84
  6. Step 6: Final answer
    x = 123,282.67

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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.