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Finding the Fourth Proportional to 212,471.72, 293,214.74 and 115,678.40

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Solution

The fourth proportional to 212,471.72, 293,214.74 and 115,678.40 is: 159,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,471.72 : 293,214.74 = 115,678.40 : x
  2. Step 2: Convert to fraction form
    212,471.72/293,214.74 = 115,678.40/x
  3. Step 3: Cross multiply
    212,471.72x = 293,214.74 × 115,678.40
  4. Step 4: Simplify right side
    212,471.72x = 33,918,611,979.62
  5. Step 5: Solve for x
    x = 33,918,611,979.62/212,471.72
  6. Step 6: Final answer
    x = 159,638.24

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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.