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Finding the Fourth Proportional to 180,234.45, 248,713.52 and 99,657.14

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Solution

The fourth proportional to 180,234.45, 248,713.52 and 99,657.14 is: 137,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,234.45 : 248,713.52 = 99,657.14 : x
  2. Step 2: Convert to fraction form
    180,234.45/248,713.52 = 99,657.14/x
  3. Step 3: Cross multiply
    180,234.45x = 248,713.52 × 99,657.14
  4. Step 4: Simplify right side
    180,234.45x = 24,786,076,340.68
  5. Step 5: Solve for x
    x = 24,786,076,340.68/180,234.45
  6. Step 6: Final answer
    x = 137,521.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.