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Finding the Fourth Proportional to 216,624.64, 324,903.36 and 83,567.20

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Solution

The fourth proportional to 216,624.64, 324,903.36 and 83,567.20 is: 125,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,624.64 : 324,903.36 = 83,567.20 : x
  2. Step 2: Convert to fraction form
    216,624.64/324,903.36 = 83,567.20/x
  3. Step 3: Cross multiply
    216,624.64x = 324,903.36 × 83,567.20
  4. Step 4: Simplify right side
    216,624.64x = 27,151,264,065.79
  5. Step 5: Solve for x
    x = 27,151,264,065.79/216,624.64
  6. Step 6: Final answer
    x = 125,337.84

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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.