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Finding the Fourth Proportional to 228,077.83, 314,738.22 and 132,577.01

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Solution

The fourth proportional to 228,077.83, 314,738.22 and 132,577.01 is: 182,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,077.83 : 314,738.22 = 132,577.01 : x
  2. Step 2: Convert to fraction form
    228,077.83/314,738.22 = 132,577.01/x
  3. Step 3: Cross multiply
    228,077.83x = 314,738.22 × 132,577.01
  4. Step 4: Simplify right side
    228,077.83x = 41,727,052,140.32
  5. Step 5: Solve for x
    x = 41,727,052,140.32/228,077.83
  6. Step 6: Final answer
    x = 182,950.93

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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.