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Finding the Fourth Proportional to 228,594.78, 343,102.64 and 116,355.20

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Solution

The fourth proportional to 228,594.78, 343,102.64 and 116,355.20 is: 174,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,594.78 : 343,102.64 = 116,355.20 : x
  2. Step 2: Convert to fraction form
    228,594.78/343,102.64 = 116,355.20/x
  3. Step 3: Cross multiply
    228,594.78x = 343,102.64 × 116,355.20
  4. Step 4: Simplify right side
    228,594.78x = 39,921,774,000.44
  5. Step 5: Solve for x
    x = 39,921,774,000.44/228,594.78
  6. Step 6: Final answer
    x = 174,639.92

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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.