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Finding the Fourth Proportional to 215,628.80, 323,443.20 and 152,643.20

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Solution

The fourth proportional to 215,628.80, 323,443.20 and 152,643.20 is: 228,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,628.80 : 323,443.20 = 152,643.20 : x
  2. Step 2: Convert to fraction form
    215,628.80/323,443.20 = 152,643.20/x
  3. Step 3: Cross multiply
    215,628.80x = 323,443.20 × 152,643.20
  4. Step 4: Simplify right side
    215,628.80x = 49,371,405,066.24
  5. Step 5: Solve for x
    x = 49,371,405,066.24/215,628.80
  6. Step 6: Final answer
    x = 228,964.80

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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.