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Finding the Fourth Proportional to 228,206.46, 314,818.85 and 147,659.96

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Solution

The fourth proportional to 228,206.46, 314,818.85 and 147,659.96 is: 203,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,206.46 : 314,818.85 = 147,659.96 : x
  2. Step 2: Convert to fraction form
    228,206.46/314,818.85 = 147,659.96/x
  3. Step 3: Cross multiply
    228,206.46x = 314,818.85 × 147,659.96
  4. Step 4: Simplify right side
    228,206.46x = 46,486,139,954.44
  5. Step 5: Solve for x
    x = 46,486,139,954.44/228,206.46
  6. Step 6: Final answer
    x = 203,702.12

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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.