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Finding the Fourth Proportional to 228,098.10, 342,147.15 and 61,886.10

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Solution

The fourth proportional to 228,098.10, 342,147.15 and 61,886.10 is: 92,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,098.10 : 342,147.15 = 61,886.10 : x
  2. Step 2: Convert to fraction form
    228,098.10/342,147.15 = 61,886.10/x
  3. Step 3: Cross multiply
    228,098.10x = 342,147.15 × 61,886.10
  4. Step 4: Simplify right side
    228,098.10x = 21,174,152,739.62
  5. Step 5: Solve for x
    x = 21,174,152,739.62/228,098.10
  6. Step 6: Final answer
    x = 92,829.15

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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.