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Finding the Fourth Proportional to 302,711.40, 454,067.10 and 125,564.40

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Solution

The fourth proportional to 302,711.40, 454,067.10 and 125,564.40 is: 188,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,711.40 : 454,067.10 = 125,564.40 : x
  2. Step 2: Convert to fraction form
    302,711.40/454,067.10 = 125,564.40/x
  3. Step 3: Cross multiply
    302,711.40x = 454,067.10 × 125,564.40
  4. Step 4: Simplify right side
    302,711.40x = 57,014,662,971.24
  5. Step 5: Solve for x
    x = 57,014,662,971.24/302,711.40
  6. Step 6: Final answer
    x = 188,346.60

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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.