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Finding the Fourth Proportional to 175,313.25, 262,904.25 and 138,309.21

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Solution

The fourth proportional to 175,313.25, 262,904.25 and 138,309.21 is: 207,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,313.25 : 262,904.25 = 138,309.21 : x
  2. Step 2: Convert to fraction form
    175,313.25/262,904.25 = 138,309.21/x
  3. Step 3: Cross multiply
    175,313.25x = 262,904.25 × 138,309.21
  4. Step 4: Simplify right side
    175,313.25x = 36,362,079,123.14
  5. Step 5: Solve for x
    x = 36,362,079,123.14/175,313.25
  6. Step 6: Final answer
    x = 207,412.04

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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.