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Finding the Fourth Proportional to 302,074.67, 452,828.90 and 102,255.23

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Solution

The fourth proportional to 302,074.67, 452,828.90 and 102,255.23 is: 153,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,074.67 : 452,828.90 = 102,255.23 : x
  2. Step 2: Convert to fraction form
    302,074.67/452,828.90 = 102,255.23/x
  3. Step 3: Cross multiply
    302,074.67x = 452,828.90 × 102,255.23
  4. Step 4: Simplify right side
    302,074.67x = 46,304,123,320.15
  5. Step 5: Solve for x
    x = 46,304,123,320.15/302,074.67
  6. Step 6: Final answer
    x = 153,287.01

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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.