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Finding the Fourth Proportional to 219,002.40, 302,178.18 and 125,850.12

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Solution

The fourth proportional to 219,002.40, 302,178.18 and 125,850.12 is: 173,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,002.40 : 302,178.18 = 125,850.12 : x
  2. Step 2: Convert to fraction form
    219,002.40/302,178.18 = 125,850.12/x
  3. Step 3: Cross multiply
    219,002.40x = 302,178.18 × 125,850.12
  4. Step 4: Simplify right side
    219,002.40x = 38,029,160,214.38
  5. Step 5: Solve for x
    x = 38,029,160,214.38/219,002.40
  6. Step 6: Final answer
    x = 173,647.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.