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Finding the Fourth Proportional to 302,884.76, 454,327.13 and 103,102.31

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Solution

The fourth proportional to 302,884.76, 454,327.13 and 103,102.31 is: 154,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,884.76 : 454,327.13 = 103,102.31 : x
  2. Step 2: Convert to fraction form
    302,884.76/454,327.13 = 103,102.31/x
  3. Step 3: Cross multiply
    302,884.76x = 454,327.13 × 103,102.31
  4. Step 4: Simplify right side
    302,884.76x = 46,842,174,584.79
  5. Step 5: Solve for x
    x = 46,842,174,584.79/302,884.76
  6. Step 6: Final answer
    x = 154,653.46

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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.