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Finding the Fourth Proportional to 144,357.62, 216,563.74 and 65,478.02

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Solution

The fourth proportional to 144,357.62, 216,563.74 and 65,478.02 is: 98,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,357.62 : 216,563.74 = 65,478.02 : x
  2. Step 2: Convert to fraction form
    144,357.62/216,563.74 = 65,478.02/x
  3. Step 3: Cross multiply
    144,357.62x = 216,563.74 × 65,478.02
  4. Step 4: Simplify right side
    144,357.62x = 14,180,164,898.99
  5. Step 5: Solve for x
    x = 14,180,164,898.99/144,357.62
  6. Step 6: Final answer
    x = 98,229.42

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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.