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Finding the Fourth Proportional to 272,751.93, 409,228.34 and 114,963.93

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Solution

The fourth proportional to 272,751.93, 409,228.34 and 114,963.93 is: 172,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,751.93 : 409,228.34 = 114,963.93 : x
  2. Step 2: Convert to fraction form
    272,751.93/409,228.34 = 114,963.93/x
  3. Step 3: Cross multiply
    272,751.93x = 409,228.34 × 114,963.93
  4. Step 4: Simplify right side
    272,751.93x = 47,046,497,658.96
  5. Step 5: Solve for x
    x = 47,046,497,658.96/272,751.93
  6. Step 6: Final answer
    x = 172,488.23

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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.