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Finding the Fourth Proportional to 189,059.88, 283,567.86 and 48,807.48

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Solution

The fourth proportional to 189,059.88, 283,567.86 and 48,807.48 is: 73,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,059.88 : 283,567.86 = 48,807.48 : x
  2. Step 2: Convert to fraction form
    189,059.88/283,567.86 = 48,807.48/x
  3. Step 3: Cross multiply
    189,059.88x = 283,567.86 × 48,807.48
  4. Step 4: Simplify right side
    189,059.88x = 13,840,232,655.59
  5. Step 5: Solve for x
    x = 13,840,232,655.59/189,059.88
  6. Step 6: Final answer
    x = 73,205.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.