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Finding the Fourth Proportional to 216,052.40, 324,078.60 and 97,727.60

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Solution

The fourth proportional to 216,052.40, 324,078.60 and 97,727.60 is: 146,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,052.40 : 324,078.60 = 97,727.60 : x
  2. Step 2: Convert to fraction form
    216,052.40/324,078.60 = 97,727.60/x
  3. Step 3: Cross multiply
    216,052.40x = 324,078.60 × 97,727.60
  4. Step 4: Simplify right side
    216,052.40x = 31,671,423,789.36
  5. Step 5: Solve for x
    x = 31,671,423,789.36/216,052.40
  6. Step 6: Final answer
    x = 146,591.40

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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.