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Finding the Fourth Proportional to 173,126.49, 259,715.65 and 54,758.49

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Solution

The fourth proportional to 173,126.49, 259,715.65 and 54,758.49 is: 82,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,126.49 : 259,715.65 = 54,758.49 : x
  2. Step 2: Convert to fraction form
    173,126.49/259,715.65 = 54,758.49/x
  3. Step 3: Cross multiply
    173,126.49x = 259,715.65 × 54,758.49
  4. Step 4: Simplify right side
    173,126.49x = 14,221,636,823.37
  5. Step 5: Solve for x
    x = 14,221,636,823.37/173,126.49
  6. Step 6: Final answer
    x = 82,145.93

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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.