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Finding the Fourth Proportional to 228,078.83, 314,739.60 and 132,578.01

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Solution

The fourth proportional to 228,078.83, 314,739.60 and 132,578.01 is: 182,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,078.83 : 314,739.60 = 132,578.01 : x
  2. Step 2: Convert to fraction form
    228,078.83/314,739.60 = 132,578.01/x
  3. Step 3: Cross multiply
    228,078.83x = 314,739.60 × 132,578.01
  4. Step 4: Simplify right side
    228,078.83x = 41,727,549,836.20
  5. Step 5: Solve for x
    x = 41,727,549,836.20/228,078.83
  6. Step 6: Final answer
    x = 182,952.31

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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.