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Finding the Fourth Proportional to 255,871.20, 383,806.80 and 89,637.60

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Solution

The fourth proportional to 255,871.20, 383,806.80 and 89,637.60 is: 134,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,871.20 : 383,806.80 = 89,637.60 : x
  2. Step 2: Convert to fraction form
    255,871.20/383,806.80 = 89,637.60/x
  3. Step 3: Cross multiply
    255,871.20x = 383,806.80 × 89,637.60
  4. Step 4: Simplify right side
    255,871.20x = 34,403,520,415.68
  5. Step 5: Solve for x
    x = 34,403,520,415.68/255,871.20
  6. Step 6: Final answer
    x = 134,456.40

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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.