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Finding the Fourth Proportional to 228,041.82, 314,682.62 and 131,230.01

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Solution

The fourth proportional to 228,041.82, 314,682.62 and 131,230.01 is: 181,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,041.82 : 314,682.62 = 131,230.01 : x
  2. Step 2: Convert to fraction form
    228,041.82/314,682.62 = 131,230.01/x
  3. Step 3: Cross multiply
    228,041.82x = 314,682.62 × 131,230.01
  4. Step 4: Simplify right side
    228,041.82x = 41,295,801,139.86
  5. Step 5: Solve for x
    x = 41,295,801,139.86/228,041.82
  6. Step 6: Final answer
    x = 181,088.72

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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.