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Finding the Fourth Proportional to 216,007.20, 323,913.60 and 97,617.60

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Solution

The fourth proportional to 216,007.20, 323,913.60 and 97,617.60 is: 146,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,007.20 : 323,913.60 = 97,617.60 : x
  2. Step 2: Convert to fraction form
    216,007.20/323,913.60 = 97,617.60/x
  3. Step 3: Cross multiply
    216,007.20x = 323,913.60 × 97,617.60
  4. Step 4: Simplify right side
    216,007.20x = 31,619,668,239.36
  5. Step 5: Solve for x
    x = 31,619,668,239.36/216,007.20
  6. Step 6: Final answer
    x = 146,382.47

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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.