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Finding the Fourth Proportional to 228,877.60, 343,219.20 and 110,585.20

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Solution

The fourth proportional to 228,877.60, 343,219.20 and 110,585.20 is: 165,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,877.60 : 343,219.20 = 110,585.20 : x
  2. Step 2: Convert to fraction form
    228,877.60/343,219.20 = 110,585.20/x
  3. Step 3: Cross multiply
    228,877.60x = 343,219.20 × 110,585.20
  4. Step 4: Simplify right side
    228,877.60x = 37,954,963,875.84
  5. Step 5: Solve for x
    x = 37,954,963,875.84/228,877.60
  6. Step 6: Final answer
    x = 165,830.84

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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.