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Finding the Fourth Proportional to 302,011.53, 453,020.02 and 91,649.46

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Solution

The fourth proportional to 302,011.53, 453,020.02 and 91,649.46 is: 137,475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,011.53 : 453,020.02 = 91,649.46 : x
  2. Step 2: Convert to fraction form
    302,011.53/453,020.02 = 91,649.46/x
  3. Step 3: Cross multiply
    302,011.53x = 453,020.02 × 91,649.46
  4. Step 4: Simplify right side
    302,011.53x = 41,519,041,671.89
  5. Step 5: Solve for x
    x = 41,519,041,671.89/302,011.53
  6. Step 6: Final answer
    x = 137,475.02

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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.