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Finding the Fourth Proportional to 164,852.42, 247,431.71 and 65,081.48

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Solution

The fourth proportional to 164,852.42, 247,431.71 and 65,081.48 is: 97,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,852.42 : 247,431.71 = 65,081.48 : x
  2. Step 2: Convert to fraction form
    164,852.42/247,431.71 = 65,081.48/x
  3. Step 3: Cross multiply
    164,852.42x = 247,431.71 × 65,081.48
  4. Step 4: Simplify right side
    164,852.42x = 16,103,220,811.28
  5. Step 5: Solve for x
    x = 16,103,220,811.28/164,852.42
  6. Step 6: Final answer
    x = 97,682.65

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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.