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Finding the Fourth Proportional to 302,019.84, 453,028.14 and 91,657.98

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Solution

The fourth proportional to 302,019.84, 453,028.14 and 91,657.98 is: 137,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,019.84 : 453,028.14 = 91,657.98 : x
  2. Step 2: Convert to fraction form
    302,019.84/453,028.14 = 91,657.98/x
  3. Step 3: Cross multiply
    302,019.84x = 453,028.14 × 91,657.98
  4. Step 4: Simplify right side
    302,019.84x = 41,523,644,195.56
  5. Step 5: Solve for x
    x = 41,523,644,195.56/302,019.84
  6. Step 6: Final answer
    x = 137,486.48

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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.