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Finding the Fourth Proportional to 133,631.10, 184,426.47 and 77,044.50

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Solution

The fourth proportional to 133,631.10, 184,426.47 and 77,044.50 is: 106,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,631.10 : 184,426.47 = 77,044.50 : x
  2. Step 2: Convert to fraction form
    133,631.10/184,426.47 = 77,044.50/x
  3. Step 3: Cross multiply
    133,631.10x = 184,426.47 × 77,044.50
  4. Step 4: Simplify right side
    133,631.10x = 14,209,045,167.92
  5. Step 5: Solve for x
    x = 14,209,045,167.92/133,631.10
  6. Step 6: Final answer
    x = 106,330.38

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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.