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Finding the Fourth Proportional to 180,495.84, 270,744.30 and 62,165.64

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Solution

The fourth proportional to 180,495.84, 270,744.30 and 62,165.64 is: 93,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,495.84 : 270,744.30 = 62,165.64 : x
  2. Step 2: Convert to fraction form
    180,495.84/270,744.30 = 62,165.64/x
  3. Step 3: Cross multiply
    180,495.84x = 270,744.30 × 62,165.64
  4. Step 4: Simplify right side
    180,495.84x = 16,830,992,685.85
  5. Step 5: Solve for x
    x = 16,830,992,685.85/180,495.84
  6. Step 6: Final answer
    x = 93,248.65

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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.