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Finding the Fourth Proportional to 265,293.82, 397,690.58 and 132,048.12

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Solution

The fourth proportional to 265,293.82, 397,690.58 and 132,048.12 is: 197,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,293.82 : 397,690.58 = 132,048.12 : x
  2. Step 2: Convert to fraction form
    265,293.82/397,690.58 = 132,048.12/x
  3. Step 3: Cross multiply
    265,293.82x = 397,690.58 × 132,048.12
  4. Step 4: Simplify right side
    265,293.82x = 52,514,293,430.71
  5. Step 5: Solve for x
    x = 52,514,293,430.71/265,293.82
  6. Step 6: Final answer
    x = 197,947.67

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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.