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Finding the Fourth Proportional to 200,009.40, 299,285.10 and 125,165.40

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Solution

The fourth proportional to 200,009.40, 299,285.10 and 125,165.40 is: 187,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,009.40 : 299,285.10 = 125,165.40 : x
  2. Step 2: Convert to fraction form
    200,009.40/299,285.10 = 125,165.40/x
  3. Step 3: Cross multiply
    200,009.40x = 299,285.10 × 125,165.40
  4. Step 4: Simplify right side
    200,009.40x = 37,460,139,255.54
  5. Step 5: Solve for x
    x = 37,460,139,255.54/200,009.40
  6. Step 6: Final answer
    x = 187,291.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.