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Finding the Fourth Proportional to 180,055.98, 270,078.16 and 53,697.28

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Solution

The fourth proportional to 180,055.98, 270,078.16 and 53,697.28 is: 80,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,055.98 : 270,078.16 = 53,697.28 : x
  2. Step 2: Convert to fraction form
    180,055.98/270,078.16 = 53,697.28/x
  3. Step 3: Cross multiply
    180,055.98x = 270,078.16 × 53,697.28
  4. Step 4: Simplify right side
    180,055.98x = 14,502,462,579.40
  5. Step 5: Solve for x
    x = 14,502,462,579.40/180,055.98
  6. Step 6: Final answer
    x = 80,544.19

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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.