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Finding the Fourth Proportional to 212,996.38, 293,804.76 and 136,489.72

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Solution

The fourth proportional to 212,996.38, 293,804.76 and 136,489.72 is: 188,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,996.38 : 293,804.76 = 136,489.72 : x
  2. Step 2: Convert to fraction form
    212,996.38/293,804.76 = 136,489.72/x
  3. Step 3: Cross multiply
    212,996.38x = 293,804.76 × 136,489.72
  4. Step 4: Simplify right side
    212,996.38x = 40,101,329,427.07
  5. Step 5: Solve for x
    x = 40,101,329,427.07/212,996.38
  6. Step 6: Final answer
    x = 188,272.35

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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.