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Finding the Fourth Proportional to 228,663.90, 342,857.33 and 102,280.59

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Solution

The fourth proportional to 228,663.90, 342,857.33 and 102,280.59 is: 153,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,663.90 : 342,857.33 = 102,280.59 : x
  2. Step 2: Convert to fraction form
    228,663.90/342,857.33 = 102,280.59/x
  3. Step 3: Cross multiply
    228,663.90x = 342,857.33 × 102,280.59
  4. Step 4: Simplify right side
    228,663.90x = 35,067,649,998.22
  5. Step 5: Solve for x
    x = 35,067,649,998.22/228,663.90
  6. Step 6: Final answer
    x = 153,358.93

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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.