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Finding the Fourth Proportional to 314,161.88, 433,550.85 and 178,205.00

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Solution

The fourth proportional to 314,161.88, 433,550.85 and 178,205.00 is: 245,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,161.88 : 433,550.85 = 178,205.00 : x
  2. Step 2: Convert to fraction form
    314,161.88/433,550.85 = 178,205.00/x
  3. Step 3: Cross multiply
    314,161.88x = 433,550.85 × 178,205.00
  4. Step 4: Simplify right side
    314,161.88x = 77,260,926,388.23
  5. Step 5: Solve for x
    x = 77,260,926,388.23/314,161.88
  6. Step 6: Final answer
    x = 245,927.12

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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.