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Finding the Fourth Proportional to 116,180, 174,176.18 and 45,065.92

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Solution

The fourth proportional to 116,180, 174,176.18 and 45,065.92 is: 67,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,180 : 174,176.18 = 45,065.92 : x
  2. Step 2: Convert to fraction form
    116,180/174,176.18 = 45,065.92/x
  3. Step 3: Cross multiply
    116,180x = 174,176.18 × 45,065.92
  4. Step 4: Simplify right side
    116,180x = 7,849,409,793.79
  5. Step 5: Solve for x
    x = 7,849,409,793.79/116,180
  6. Step 6: Final answer
    x = 67,562.49

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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.