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Finding the Fourth Proportional to 236,214.28, 325,894.35 and 164,568.16

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Solution

The fourth proportional to 236,214.28, 325,894.35 and 164,568.16 is: 227,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,214.28 : 325,894.35 = 164,568.16 : x
  2. Step 2: Convert to fraction form
    236,214.28/325,894.35 = 164,568.16/x
  3. Step 3: Cross multiply
    236,214.28x = 325,894.35 × 164,568.16
  4. Step 4: Simplify right side
    236,214.28x = 53,631,833,533.90
  5. Step 5: Solve for x
    x = 53,631,833,533.90/236,214.28
  6. Step 6: Final answer
    x = 227,047.38

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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.