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Finding the Fourth Proportional to 164,851.80, 247,277.70 and 109,447.80

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Solution

The fourth proportional to 164,851.80, 247,277.70 and 109,447.80 is: 164,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,851.80 : 247,277.70 = 109,447.80 : x
  2. Step 2: Convert to fraction form
    164,851.80/247,277.70 = 109,447.80/x
  3. Step 3: Cross multiply
    164,851.80x = 247,277.70 × 109,447.80
  4. Step 4: Simplify right side
    164,851.80x = 27,064,000,254.06
  5. Step 5: Solve for x
    x = 27,064,000,254.06/164,851.80
  6. Step 6: Final answer
    x = 164,171.70

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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.