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Finding the Fourth Proportional to 228,059.04, 342,138.96 and 78,295.92

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Solution

The fourth proportional to 228,059.04, 342,138.96 and 78,295.92 is: 117,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,059.04 : 342,138.96 = 78,295.92 : x
  2. Step 2: Convert to fraction form
    228,059.04/342,138.96 = 78,295.92/x
  3. Step 3: Cross multiply
    228,059.04x = 342,138.96 × 78,295.92
  4. Step 4: Simplify right side
    228,059.04x = 26,788,084,641.04
  5. Step 5: Solve for x
    x = 26,788,084,641.04/228,059.04
  6. Step 6: Final answer
    x = 117,461.18

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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.