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Finding the Fourth Proportional to 116,114.28, 174,191.58 and 42,225

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Solution

The fourth proportional to 116,114.28, 174,191.58 and 42,225 is: 63,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,114.28 : 174,191.58 = 42,225 : x
  2. Step 2: Convert to fraction form
    116,114.28/174,191.58 = 42,225/x
  3. Step 3: Cross multiply
    116,114.28x = 174,191.58 × 42,225
  4. Step 4: Simplify right side
    116,114.28x = 7,355,239,465.50
  5. Step 5: Solve for x
    x = 7,355,239,465.50/116,114.28
  6. Step 6: Final answer
    x = 63,344.83

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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.