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Finding the Fourth Proportional to 180,221.56, 248,695.71 and 99,644.24

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Solution

The fourth proportional to 180,221.56, 248,695.71 and 99,644.24 is: 137,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,221.56 : 248,695.71 = 99,644.24 : x
  2. Step 2: Convert to fraction form
    180,221.56/248,695.71 = 99,644.24/x
  3. Step 3: Cross multiply
    180,221.56x = 248,695.71 × 99,644.24
  4. Step 4: Simplify right side
    180,221.56x = 24,781,095,014.21
  5. Step 5: Solve for x
    x = 24,781,095,014.21/180,221.56
  6. Step 6: Final answer
    x = 137,503.50

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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.