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Finding the Fourth Proportional to 180,043.23, 270,102.80 and 61,723.81

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Solution

The fourth proportional to 180,043.23, 270,102.80 and 61,723.81 is: 92,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,043.23 : 270,102.80 = 61,723.81 : x
  2. Step 2: Convert to fraction form
    180,043.23/270,102.80 = 61,723.81/x
  3. Step 3: Cross multiply
    180,043.23x = 270,102.80 × 61,723.81
  4. Step 4: Simplify right side
    180,043.23x = 16,671,773,907.67
  5. Step 5: Solve for x
    x = 16,671,773,907.67/180,043.23
  6. Step 6: Final answer
    x = 92,598.73

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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.