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Finding the Fourth Proportional to 410,065.89, 615,117.36 and 125,735.67

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Solution

The fourth proportional to 410,065.89, 615,117.36 and 125,735.67 is: 188,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,065.89 : 615,117.36 = 125,735.67 : x
  2. Step 2: Convert to fraction form
    410,065.89/615,117.36 = 125,735.67/x
  3. Step 3: Cross multiply
    410,065.89x = 615,117.36 × 125,735.67
  4. Step 4: Simplify right side
    410,065.89x = 77,342,193,388.23
  5. Step 5: Solve for x
    x = 77,342,193,388.23/410,065.89
  6. Step 6: Final answer
    x = 188,609.19

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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.