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Finding the Fourth Proportional to 200,901.60, 301,352.40 and 76,242.60

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Solution

The fourth proportional to 200,901.60, 301,352.40 and 76,242.60 is: 114,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,901.60 : 301,352.40 = 76,242.60 : x
  2. Step 2: Convert to fraction form
    200,901.60/301,352.40 = 76,242.60/x
  3. Step 3: Cross multiply
    200,901.60x = 301,352.40 × 76,242.60
  4. Step 4: Simplify right side
    200,901.60x = 22,975,890,492.24
  5. Step 5: Solve for x
    x = 22,975,890,492.24/200,901.60
  6. Step 6: Final answer
    x = 114,363.90

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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.