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Finding the Fourth Proportional to 228,077.94, 314,742.02 and 126,100.77

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Solution

The fourth proportional to 228,077.94, 314,742.02 and 126,100.77 is: 174,016.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,077.94 : 314,742.02 = 126,100.77 : x
  2. Step 2: Convert to fraction form
    228,077.94/314,742.02 = 126,100.77/x
  3. Step 3: Cross multiply
    228,077.94x = 314,742.02 × 126,100.77
  4. Step 4: Simplify right side
    228,077.94x = 39,689,210,442.85
  5. Step 5: Solve for x
    x = 39,689,210,442.85/228,077.94
  6. Step 6: Final answer
    x = 174,016.00

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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.