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Finding the Fourth Proportional to 275,964.50, 380,831.37 and 156,732.50

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Solution

The fourth proportional to 275,964.50, 380,831.37 and 156,732.50 is: 216,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,964.50 : 380,831.37 = 156,732.50 : x
  2. Step 2: Convert to fraction form
    275,964.50/380,831.37 = 156,732.50/x
  3. Step 3: Cross multiply
    275,964.50x = 380,831.37 × 156,732.50
  4. Step 4: Simplify right side
    275,964.50x = 59,688,652,698.53
  5. Step 5: Solve for x
    x = 59,688,652,698.53/275,964.50
  6. Step 6: Final answer
    x = 216,291.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.