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Finding the Fourth Proportional to 235,830.06, 325,827.09 and 164,528.37

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Solution

The fourth proportional to 235,830.06, 325,827.09 and 164,528.37 is: 227,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,830.06 : 325,827.09 = 164,528.37 : x
  2. Step 2: Convert to fraction form
    235,830.06/325,827.09 = 164,528.37/x
  3. Step 3: Cross multiply
    235,830.06x = 325,827.09 × 164,528.37
  4. Step 4: Simplify right side
    235,830.06x = 53,607,800,019.54
  5. Step 5: Solve for x
    x = 53,607,800,019.54/235,830.06
  6. Step 6: Final answer
    x = 227,315.38

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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.