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Finding the Fourth Proportional to 213,757.73, 294,899.93 and 123,065.04

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Solution

The fourth proportional to 213,757.73, 294,899.93 and 123,065.04 is: 169,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,757.73 : 294,899.93 = 123,065.04 : x
  2. Step 2: Convert to fraction form
    213,757.73/294,899.93 = 123,065.04/x
  3. Step 3: Cross multiply
    213,757.73x = 294,899.93 × 123,065.04
  4. Step 4: Simplify right side
    213,757.73x = 36,291,871,066.12
  5. Step 5: Solve for x
    x = 36,291,871,066.12/213,757.73
  6. Step 6: Final answer
    x = 169,780.40

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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.