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Finding the Fourth Proportional to 184,306, 276,428.10 and 51,199.71

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Solution

The fourth proportional to 184,306, 276,428.10 and 51,199.71 is: 76,790.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,306 : 276,428.10 = 51,199.71 : x
  2. Step 2: Convert to fraction form
    184,306/276,428.10 = 51,199.71/x
  3. Step 3: Cross multiply
    184,306x = 276,428.10 × 51,199.71
  4. Step 4: Simplify right side
    184,306x = 14,153,038,555.85
  5. Step 5: Solve for x
    x = 14,153,038,555.85/184,306
  6. Step 6: Final answer
    x = 76,790.98

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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.