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Finding the Fourth Proportional to 180,237.20, 270,355.80 and 86,925.20

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Solution

The fourth proportional to 180,237.20, 270,355.80 and 86,925.20 is: 130,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,237.20 : 270,355.80 = 86,925.20 : x
  2. Step 2: Convert to fraction form
    180,237.20/270,355.80 = 86,925.20/x
  3. Step 3: Cross multiply
    180,237.20x = 270,355.80 × 86,925.20
  4. Step 4: Simplify right side
    180,237.20x = 23,500,731,986.16
  5. Step 5: Solve for x
    x = 23,500,731,986.16/180,237.20
  6. Step 6: Final answer
    x = 130,387.80

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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.