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Finding the Fourth Proportional to 180,415.55, 248,967.32 and 99,846.47

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Solution

The fourth proportional to 180,415.55, 248,967.32 and 99,846.47 is: 137,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,415.55 : 248,967.32 = 99,846.47 : x
  2. Step 2: Convert to fraction form
    180,415.55/248,967.32 = 99,846.47/x
  3. Step 3: Cross multiply
    180,415.55x = 248,967.32 × 99,846.47
  4. Step 4: Simplify right side
    180,415.55x = 24,858,507,548.13
  5. Step 5: Solve for x
    x = 24,858,507,548.13/180,415.55
  6. Step 6: Final answer
    x = 137,784.73

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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.