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Finding the Fourth Proportional to 164,862.98, 247,165.28 and 65,097.85

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Solution

The fourth proportional to 164,862.98, 247,165.28 and 65,097.85 is: 97,595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,862.98 : 247,165.28 = 65,097.85 : x
  2. Step 2: Convert to fraction form
    164,862.98/247,165.28 = 65,097.85/x
  3. Step 3: Cross multiply
    164,862.98x = 247,165.28 × 65,097.85
  4. Step 4: Simplify right side
    164,862.98x = 16,089,926,761.33
  5. Step 5: Solve for x
    x = 16,089,926,761.33/164,862.98
  6. Step 6: Final answer
    x = 97,595.76

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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.