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Finding the Fourth Proportional to 164,983.84, 247,461.68 and 52,659.52

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Solution

The fourth proportional to 164,983.84, 247,461.68 and 52,659.52 is: 78,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,983.84 : 247,461.68 = 52,659.52 : x
  2. Step 2: Convert to fraction form
    164,983.84/247,461.68 = 52,659.52/x
  3. Step 3: Cross multiply
    164,983.84x = 247,461.68 × 52,659.52
  4. Step 4: Simplify right side
    164,983.84x = 13,031,213,287.19
  5. Step 5: Solve for x
    x = 13,031,213,287.19/164,983.84
  6. Step 6: Final answer
    x = 78,984.79

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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.