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Finding the Fourth Proportional to 180,018.42, 270,065.90 and 61,657.98

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Solution

The fourth proportional to 180,018.42, 270,065.90 and 61,657.98 is: 92,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,018.42 : 270,065.90 = 61,657.98 : x
  2. Step 2: Convert to fraction form
    180,018.42/270,065.90 = 61,657.98/x
  3. Step 3: Cross multiply
    180,018.42x = 270,065.90 × 61,657.98
  4. Step 4: Simplify right side
    180,018.42x = 16,651,718,015.03
  5. Step 5: Solve for x
    x = 16,651,718,015.03/180,018.42
  6. Step 6: Final answer
    x = 92,500.08

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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.