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Finding the Fourth Proportional to 252,284, 378,477.93 and 102,523.97

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Solution

The fourth proportional to 252,284, 378,477.93 and 102,523.97 is: 153,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,284 : 378,477.93 = 102,523.97 : x
  2. Step 2: Convert to fraction form
    252,284/378,477.93 = 102,523.97/x
  3. Step 3: Cross multiply
    252,284x = 378,477.93 × 102,523.97
  4. Step 4: Simplify right side
    252,284x = 38,803,059,940.98
  5. Step 5: Solve for x
    x = 38,803,059,940.98/252,284
  6. Step 6: Final answer
    x = 153,807.06

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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.