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Finding the Fourth Proportional to 219,871.80, 329,807.70 and 53,659.80

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Solution

The fourth proportional to 219,871.80, 329,807.70 and 53,659.80 is: 80,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,871.80 : 329,807.70 = 53,659.80 : x
  2. Step 2: Convert to fraction form
    219,871.80/329,807.70 = 53,659.80/x
  3. Step 3: Cross multiply
    219,871.80x = 329,807.70 × 53,659.80
  4. Step 4: Simplify right side
    219,871.80x = 17,697,415,220.46
  5. Step 5: Solve for x
    x = 17,697,415,220.46/219,871.80
  6. Step 6: Final answer
    x = 80,489.70

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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.