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Finding the Fourth Proportional to 228,077.48, 342,116.40 and 61,865.48

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Solution

The fourth proportional to 228,077.48, 342,116.40 and 61,865.48 is: 92,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,077.48 : 342,116.40 = 61,865.48 : x
  2. Step 2: Convert to fraction form
    228,077.48/342,116.40 = 61,865.48/x
  3. Step 3: Cross multiply
    228,077.48x = 342,116.40 × 61,865.48
  4. Step 4: Simplify right side
    228,077.48x = 21,165,195,301.87
  5. Step 5: Solve for x
    x = 21,165,195,301.87/228,077.48
  6. Step 6: Final answer
    x = 92,798.27

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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.