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Finding the Fourth Proportional to 271,881.74, 407,598.06 and 119,970.65

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Solution

The fourth proportional to 271,881.74, 407,598.06 and 119,970.65 is: 179,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,881.74 : 407,598.06 = 119,970.65 : x
  2. Step 2: Convert to fraction form
    271,881.74/407,598.06 = 119,970.65/x
  3. Step 3: Cross multiply
    271,881.74x = 407,598.06 × 119,970.65
  4. Step 4: Simplify right side
    271,881.74x = 48,899,804,196.94
  5. Step 5: Solve for x
    x = 48,899,804,196.94/271,881.74
  6. Step 6: Final answer
    x = 179,856.89

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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.