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Finding the Fourth Proportional to 186,134.85, 277,097.10 and 185,027.67

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Solution

The fourth proportional to 186,134.85, 277,097.10 and 185,027.67 is: 275,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,134.85 : 277,097.10 = 185,027.67 : x
  2. Step 2: Convert to fraction form
    186,134.85/277,097.10 = 185,027.67/x
  3. Step 3: Cross multiply
    186,134.85x = 277,097.10 × 185,027.67
  4. Step 4: Simplify right side
    186,134.85x = 51,270,630,776.76
  5. Step 5: Solve for x
    x = 51,270,630,776.76/186,134.85
  6. Step 6: Final answer
    x = 275,448.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.