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Finding the Fourth Proportional to 228,077.71, 314,741.67 and 126,100.52

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Solution

The fourth proportional to 228,077.71, 314,741.67 and 126,100.52 is: 174,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,077.71 : 314,741.67 = 126,100.52 : x
  2. Step 2: Convert to fraction form
    228,077.71/314,741.67 = 126,100.52/x
  3. Step 3: Cross multiply
    228,077.71x = 314,741.67 × 126,100.52
  4. Step 4: Simplify right side
    228,077.71x = 39,689,088,252.67
  5. Step 5: Solve for x
    x = 39,689,088,252.67/228,077.71
  6. Step 6: Final answer
    x = 174,015.64

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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.