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Finding the Fourth Proportional to 175,281.80, 262,922.70 and 140,289.80

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Solution

The fourth proportional to 175,281.80, 262,922.70 and 140,289.80 is: 210,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,281.80 : 262,922.70 = 140,289.80 : x
  2. Step 2: Convert to fraction form
    175,281.80/262,922.70 = 140,289.80/x
  3. Step 3: Cross multiply
    175,281.80x = 262,922.70 × 140,289.80
  4. Step 4: Simplify right side
    175,281.80x = 36,885,372,998.46
  5. Step 5: Solve for x
    x = 36,885,372,998.46/175,281.80
  6. Step 6: Final answer
    x = 210,434.70

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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.