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Finding the Fourth Proportional to 133,537.40, 200,306.10 and 120,415.40

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Solution

The fourth proportional to 133,537.40, 200,306.10 and 120,415.40 is: 180,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,537.40 : 200,306.10 = 120,415.40 : x
  2. Step 2: Convert to fraction form
    133,537.40/200,306.10 = 120,415.40/x
  3. Step 3: Cross multiply
    133,537.40x = 200,306.10 × 120,415.40
  4. Step 4: Simplify right side
    133,537.40x = 24,119,939,153.94
  5. Step 5: Solve for x
    x = 24,119,939,153.94/133,537.40
  6. Step 6: Final answer
    x = 180,623.10

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Why These Related Problems?

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