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Finding the Fourth Proportional to 228,051.92, 342,078.60 and 134,492

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Solution

The fourth proportional to 228,051.92, 342,078.60 and 134,492 is: 201,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,051.92 : 342,078.60 = 134,492 : x
  2. Step 2: Convert to fraction form
    228,051.92/342,078.60 = 134,492/x
  3. Step 3: Cross multiply
    228,051.92x = 342,078.60 × 134,492
  4. Step 4: Simplify right side
    228,051.92x = 46,006,835,071.20
  5. Step 5: Solve for x
    x = 46,006,835,071.20/228,051.92
  6. Step 6: Final answer
    x = 201,738.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.