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Finding the Fourth Proportional to 180,415.80, 248,967.66 and 99,846.72

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Solution

The fourth proportional to 180,415.80, 248,967.66 and 99,846.72 is: 137,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,415.80 : 248,967.66 = 99,846.72 : x
  2. Step 2: Convert to fraction form
    180,415.80/248,967.66 = 99,846.72/x
  3. Step 3: Cross multiply
    180,415.80x = 248,967.66 × 99,846.72
  4. Step 4: Simplify right side
    180,415.80x = 24,858,604,237.08
  5. Step 5: Solve for x
    x = 24,858,604,237.08/180,415.80
  6. Step 6: Final answer
    x = 137,785.07

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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.