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Finding the Fourth Proportional to 176,315.54, 264,488.28 and 49,956.34

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Solution

The fourth proportional to 176,315.54, 264,488.28 and 49,956.34 is: 74,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,315.54 : 264,488.28 = 49,956.34 : x
  2. Step 2: Convert to fraction form
    176,315.54/264,488.28 = 49,956.34/x
  3. Step 3: Cross multiply
    176,315.54x = 264,488.28 × 49,956.34
  4. Step 4: Simplify right side
    176,315.54x = 13,212,866,441.70
  5. Step 5: Solve for x
    x = 13,212,866,441.70/176,315.54
  6. Step 6: Final answer
    x = 74,938.75

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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.