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Finding the Fourth Proportional to 189,001.42, 283,498.79 and 46,846.42

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Solution

The fourth proportional to 189,001.42, 283,498.79 and 46,846.42 is: 70,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,001.42 : 283,498.79 = 46,846.42 : x
  2. Step 2: Convert to fraction form
    189,001.42/283,498.79 = 46,846.42/x
  3. Step 3: Cross multiply
    189,001.42x = 283,498.79 × 46,846.42
  4. Step 4: Simplify right side
    189,001.42x = 13,280,902,442.85
  5. Step 5: Solve for x
    x = 13,280,902,442.85/189,001.42
  6. Step 6: Final answer
    x = 70,268.80

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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.