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Finding the Fourth Proportional to 164,965.68, 247,228.20 and 85,914.16

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Solution

The fourth proportional to 164,965.68, 247,228.20 and 85,914.16 is: 128,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,965.68 : 247,228.20 = 85,914.16 : x
  2. Step 2: Convert to fraction form
    164,965.68/247,228.20 = 85,914.16/x
  3. Step 3: Cross multiply
    164,965.68x = 247,228.20 × 85,914.16
  4. Step 4: Simplify right side
    164,965.68x = 21,240,403,131.31
  5. Step 5: Solve for x
    x = 21,240,403,131.31/164,965.68
  6. Step 6: Final answer
    x = 128,756.50

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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.