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Finding the Fourth Proportional to 200,829.60, 301,244.40 and 76,154.40

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Solution

The fourth proportional to 200,829.60, 301,244.40 and 76,154.40 is: 114,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,829.60 : 301,244.40 = 76,154.40 : x
  2. Step 2: Convert to fraction form
    200,829.60/301,244.40 = 76,154.40/x
  3. Step 3: Cross multiply
    200,829.60x = 301,244.40 × 76,154.40
  4. Step 4: Simplify right side
    200,829.60x = 22,941,086,535.36
  5. Step 5: Solve for x
    x = 22,941,086,535.36/200,829.60
  6. Step 6: Final answer
    x = 114,231.60

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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.