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Finding the Fourth Proportional to 301,333.62, 451,985.80 and 111,830.93

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Solution

The fourth proportional to 301,333.62, 451,985.80 and 111,830.93 is: 167,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,333.62 : 451,985.80 = 111,830.93 : x
  2. Step 2: Convert to fraction form
    301,333.62/451,985.80 = 111,830.93/x
  3. Step 3: Cross multiply
    301,333.62x = 451,985.80 × 111,830.93
  4. Step 4: Simplify right side
    301,333.62x = 50,545,992,360.79
  5. Step 5: Solve for x
    x = 50,545,992,360.79/301,333.62
  6. Step 6: Final answer
    x = 167,740.97

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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.