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Finding the Fourth Proportional to 144,478.36, 216,423.76 and 117,919

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Solution

The fourth proportional to 144,478.36, 216,423.76 and 117,919 is: 176,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,478.36 : 216,423.76 = 117,919 : x
  2. Step 2: Convert to fraction form
    144,478.36/216,423.76 = 117,919/x
  3. Step 3: Cross multiply
    144,478.36x = 216,423.76 × 117,919
  4. Step 4: Simplify right side
    144,478.36x = 25,520,473,355.44
  5. Step 5: Solve for x
    x = 25,520,473,355.44/144,478.36
  6. Step 6: Final answer
    x = 176,638.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.