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Finding the Fourth Proportional to 228,084.76, 314,743.49 and 126,102.21

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Solution

The fourth proportional to 228,084.76, 314,743.49 and 126,102.21 is: 174,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,084.76 : 314,743.49 = 126,102.21 : x
  2. Step 2: Convert to fraction form
    228,084.76/314,743.49 = 126,102.21/x
  3. Step 3: Cross multiply
    228,084.76x = 314,743.49 × 126,102.21
  4. Step 4: Simplify right side
    228,084.76x = 39,689,849,672.11
  5. Step 5: Solve for x
    x = 39,689,849,672.11/228,084.76
  6. Step 6: Final answer
    x = 174,013.60

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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.