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Finding the Fourth Proportional to 162,052.80, 243,079.20 and 152,203.20

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Solution

The fourth proportional to 162,052.80, 243,079.20 and 152,203.20 is: 228,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,052.80 : 243,079.20 = 152,203.20 : x
  2. Step 2: Convert to fraction form
    162,052.80/243,079.20 = 152,203.20/x
  3. Step 3: Cross multiply
    162,052.80x = 243,079.20 × 152,203.20
  4. Step 4: Simplify right side
    162,052.80x = 36,997,432,093.44
  5. Step 5: Solve for x
    x = 36,997,432,093.44/162,052.80
  6. Step 6: Final answer
    x = 228,304.80

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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.