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Finding the Fourth Proportional to 302,462.75, 453,694.14 and 105,470.75

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Solution

The fourth proportional to 302,462.75, 453,694.14 and 105,470.75 is: 158,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,462.75 : 453,694.14 = 105,470.75 : x
  2. Step 2: Convert to fraction form
    302,462.75/453,694.14 = 105,470.75/x
  3. Step 3: Cross multiply
    302,462.75x = 453,694.14 × 105,470.75
  4. Step 4: Simplify right side
    302,462.75x = 47,851,461,216.41
  5. Step 5: Solve for x
    x = 47,851,461,216.41/302,462.75
  6. Step 6: Final answer
    x = 158,206.13

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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.