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Finding the Fourth Proportional to 274,526.82, 378,815.13 and 153,674.82

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Solution

The fourth proportional to 274,526.82, 378,815.13 and 153,674.82 is: 212,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,526.82 : 378,815.13 = 153,674.82 : x
  2. Step 2: Convert to fraction form
    274,526.82/378,815.13 = 153,674.82/x
  3. Step 3: Cross multiply
    274,526.82x = 378,815.13 × 153,674.82
  4. Step 4: Simplify right side
    274,526.82x = 58,214,346,916.03
  5. Step 5: Solve for x
    x = 58,214,346,916.03/274,526.82
  6. Step 6: Final answer
    x = 212,053.40

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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.