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Finding the Fourth Proportional to 216,964.64, 325,384.13 and 65,155.60

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Solution

The fourth proportional to 216,964.64, 325,384.13 and 65,155.60 is: 97,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,964.64 : 325,384.13 = 65,155.60 : x
  2. Step 2: Convert to fraction form
    216,964.64/325,384.13 = 65,155.60/x
  3. Step 3: Cross multiply
    216,964.64x = 325,384.13 × 65,155.60
  4. Step 4: Simplify right side
    216,964.64x = 21,200,598,220.63
  5. Step 5: Solve for x
    x = 21,200,598,220.63/216,964.64
  6. Step 6: Final answer
    x = 97,714.53

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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.