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Finding the Fourth Proportional to 212,804.28, 293,642.28 and 122,164.20

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Solution

The fourth proportional to 212,804.28, 293,642.28 and 122,164.20 is: 168,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,804.28 : 293,642.28 = 122,164.20 : x
  2. Step 2: Convert to fraction form
    212,804.28/293,642.28 = 122,164.20/x
  3. Step 3: Cross multiply
    212,804.28x = 293,642.28 × 122,164.20
  4. Step 4: Simplify right side
    212,804.28x = 35,872,574,222.38
  5. Step 5: Solve for x
    x = 35,872,574,222.38/212,804.28
  6. Step 6: Final answer
    x = 168,570.74

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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.