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Finding the Fourth Proportional to 209,356, 313,606.32 and 174,182.56

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Solution

The fourth proportional to 209,356, 313,606.32 and 174,182.56 is: 260,918.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,356 : 313,606.32 = 174,182.56 : x
  2. Step 2: Convert to fraction form
    209,356/313,606.32 = 174,182.56/x
  3. Step 3: Cross multiply
    209,356x = 313,606.32 × 174,182.56
  4. Step 4: Simplify right side
    209,356x = 54,624,751,649.78
  5. Step 5: Solve for x
    x = 54,624,751,649.78/209,356
  6. Step 6: Final answer
    x = 260,918.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.