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Finding the Fourth Proportional to 180,407.77, 248,959.15 and 99,835.27

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Solution

The fourth proportional to 180,407.77, 248,959.15 and 99,835.27 is: 137,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,407.77 : 248,959.15 = 99,835.27 : x
  2. Step 2: Convert to fraction form
    180,407.77/248,959.15 = 99,835.27/x
  3. Step 3: Cross multiply
    180,407.77x = 248,959.15 × 99,835.27
  4. Step 4: Simplify right side
    180,407.77x = 24,854,903,087.23
  5. Step 5: Solve for x
    x = 24,854,903,087.23/180,407.77
  6. Step 6: Final answer
    x = 137,770.69

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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.