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Finding the Fourth Proportional to 210,107.28, 289,985.64 and 125,229.72

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Solution

The fourth proportional to 210,107.28, 289,985.64 and 125,229.72 is: 172,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,107.28 : 289,985.64 = 125,229.72 : x
  2. Step 2: Convert to fraction form
    210,107.28/289,985.64 = 125,229.72/x
  3. Step 3: Cross multiply
    210,107.28x = 289,985.64 × 125,229.72
  4. Step 4: Simplify right side
    210,107.28x = 36,314,820,501.22
  5. Step 5: Solve for x
    x = 36,314,820,501.22/210,107.28
  6. Step 6: Final answer
    x = 172,839.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.