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Finding the Fourth Proportional to 164,382.52, 226,775.64 and 96,364.96

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Solution

The fourth proportional to 164,382.52, 226,775.64 and 96,364.96 is: 132,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,382.52 : 226,775.64 = 96,364.96 : x
  2. Step 2: Convert to fraction form
    164,382.52/226,775.64 = 96,364.96/x
  3. Step 3: Cross multiply
    164,382.52x = 226,775.64 × 96,364.96
  4. Step 4: Simplify right side
    164,382.52x = 21,853,225,477.57
  5. Step 5: Solve for x
    x = 21,853,225,477.57/164,382.52
  6. Step 6: Final answer
    x = 132,941.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.