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Finding the Fourth Proportional to 176,182.60, 264,290.10 and 49,822.60

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Solution

The fourth proportional to 176,182.60, 264,290.10 and 49,822.60 is: 74,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,182.60 : 264,290.10 = 49,822.60 : x
  2. Step 2: Convert to fraction form
    176,182.60/264,290.10 = 49,822.60/x
  3. Step 3: Cross multiply
    176,182.60x = 264,290.10 × 49,822.60
  4. Step 4: Simplify right side
    176,182.60x = 13,167,619,936.26
  5. Step 5: Solve for x
    x = 13,167,619,936.26/176,182.60
  6. Step 6: Final answer
    x = 74,738.48

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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.