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Finding the Fourth Proportional to 228,798.19, 342,993.16 and 116,415.55

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Solution

The fourth proportional to 228,798.19, 342,993.16 and 116,415.55 is: 174,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,798.19 : 342,993.16 = 116,415.55 : x
  2. Step 2: Convert to fraction form
    228,798.19/342,993.16 = 116,415.55/x
  3. Step 3: Cross multiply
    228,798.19x = 342,993.16 × 116,415.55
  4. Step 4: Simplify right side
    228,798.19x = 39,929,737,367.64
  5. Step 5: Solve for x
    x = 39,929,737,367.64/228,798.19
  6. Step 6: Final answer
    x = 174,519.46

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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.