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Finding the Fourth Proportional to 265,743.13, 398,532.94 and 76,152.67

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Solution

The fourth proportional to 265,743.13, 398,532.94 and 76,152.67 is: 114,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,743.13 : 398,532.94 = 76,152.67 : x
  2. Step 2: Convert to fraction form
    265,743.13/398,532.94 = 76,152.67/x
  3. Step 3: Cross multiply
    265,743.13x = 398,532.94 × 76,152.67
  4. Step 4: Simplify right side
    265,743.13x = 30,349,347,463.95
  5. Step 5: Solve for x
    x = 30,349,347,463.95/265,743.13
  6. Step 6: Final answer
    x = 114,205.58

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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.