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Finding the Fourth Proportional to 164,886.68, 247,163.06 and 65,117.22

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Solution

The fourth proportional to 164,886.68, 247,163.06 and 65,117.22 is: 97,609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,886.68 : 247,163.06 = 65,117.22 : x
  2. Step 2: Convert to fraction form
    164,886.68/247,163.06 = 65,117.22/x
  3. Step 3: Cross multiply
    164,886.68x = 247,163.06 × 65,117.22
  4. Step 4: Simplify right side
    164,886.68x = 16,094,571,353.89
  5. Step 5: Solve for x
    x = 16,094,571,353.89/164,886.68
  6. Step 6: Final answer
    x = 97,609.89

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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.