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Finding the Fourth Proportional to 143,282.80, 214,911.01 and 48,502.15

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Solution

The fourth proportional to 143,282.80, 214,911.01 and 48,502.15 is: 72,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,282.80 : 214,911.01 = 48,502.15 : x
  2. Step 2: Convert to fraction form
    143,282.80/214,911.01 = 48,502.15/x
  3. Step 3: Cross multiply
    143,282.80x = 214,911.01 × 48,502.15
  4. Step 4: Simplify right side
    143,282.80x = 10,423,646,043.67
  5. Step 5: Solve for x
    x = 10,423,646,043.67/143,282.80
  6. Step 6: Final answer
    x = 72,748.76

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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.