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Finding the Fourth Proportional to 176,153.48, 264,257.78 and 57,797.90

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Solution

The fourth proportional to 176,153.48, 264,257.78 and 57,797.90 is: 86,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,153.48 : 264,257.78 = 57,797.90 : x
  2. Step 2: Convert to fraction form
    176,153.48/264,257.78 = 57,797.90/x
  3. Step 3: Cross multiply
    176,153.48x = 264,257.78 × 57,797.90
  4. Step 4: Simplify right side
    176,153.48x = 15,273,544,742.66
  5. Step 5: Solve for x
    x = 15,273,544,742.66/176,153.48
  6. Step 6: Final answer
    x = 86,705.89

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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.