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Finding the Fourth Proportional to 357,532.80, 536,299.20 and 108,214.80

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Solution

The fourth proportional to 357,532.80, 536,299.20 and 108,214.80 is: 162,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,532.80 : 536,299.20 = 108,214.80 : x
  2. Step 2: Convert to fraction form
    357,532.80/536,299.20 = 108,214.80/x
  3. Step 3: Cross multiply
    357,532.80x = 536,299.20 × 108,214.80
  4. Step 4: Simplify right side
    357,532.80x = 58,035,510,668.16
  5. Step 5: Solve for x
    x = 58,035,510,668.16/357,532.80
  6. Step 6: Final answer
    x = 162,322.20

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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.