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Finding the Fourth Proportional to 174,902.60, 262,353.90 and 75,045.80

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Solution

The fourth proportional to 174,902.60, 262,353.90 and 75,045.80 is: 112,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,902.60 : 262,353.90 = 75,045.80 : x
  2. Step 2: Convert to fraction form
    174,902.60/262,353.90 = 75,045.80/x
  3. Step 3: Cross multiply
    174,902.60x = 262,353.90 × 75,045.80
  4. Step 4: Simplify right side
    174,902.60x = 19,688,558,308.62
  5. Step 5: Solve for x
    x = 19,688,558,308.62/174,902.60
  6. Step 6: Final answer
    x = 112,568.70

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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.