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Finding the Fourth Proportional to 301,087.74, 451,631.82 and 76,465.02

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Solution

The fourth proportional to 301,087.74, 451,631.82 and 76,465.02 is: 114,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,087.74 : 451,631.82 = 76,465.02 : x
  2. Step 2: Convert to fraction form
    301,087.74/451,631.82 = 76,465.02/x
  3. Step 3: Cross multiply
    301,087.74x = 451,631.82 × 76,465.02
  4. Step 4: Simplify right side
    301,087.74x = 34,534,036,148.94
  5. Step 5: Solve for x
    x = 34,534,036,148.94/301,087.74
  6. Step 6: Final answer
    x = 114,697.58

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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.