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Finding the Fourth Proportional to 185,801.96, 278,477.76 and 85,754

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Solution

The fourth proportional to 185,801.96, 278,477.76 and 85,754 is: 128,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,801.96 : 278,477.76 = 85,754 : x
  2. Step 2: Convert to fraction form
    185,801.96/278,477.76 = 85,754/x
  3. Step 3: Cross multiply
    185,801.96x = 278,477.76 × 85,754
  4. Step 4: Simplify right side
    185,801.96x = 23,880,581,831.04
  5. Step 5: Solve for x
    x = 23,880,581,831.04/185,801.96
  6. Step 6: Final answer
    x = 128,527.07

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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.