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Finding the Fourth Proportional to 280,127.60, 420,142.80 and 102,543.20

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Solution

The fourth proportional to 280,127.60, 420,142.80 and 102,543.20 is: 153,797.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,127.60 : 420,142.80 = 102,543.20 : x
  2. Step 2: Convert to fraction form
    280,127.60/420,142.80 = 102,543.20/x
  3. Step 3: Cross multiply
    280,127.60x = 420,142.80 × 102,543.20
  4. Step 4: Simplify right side
    280,127.60x = 43,082,787,168.96
  5. Step 5: Solve for x
    x = 43,082,787,168.96/280,127.60
  6. Step 6: Final answer
    x = 153,797.01

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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.