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Finding the Fourth Proportional to 164,414.94, 226,666.65 and 103,955.32

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Solution

The fourth proportional to 164,414.94, 226,666.65 and 103,955.32 is: 143,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,414.94 : 226,666.65 = 103,955.32 : x
  2. Step 2: Convert to fraction form
    164,414.94/226,666.65 = 103,955.32/x
  3. Step 3: Cross multiply
    164,414.94x = 226,666.65 × 103,955.32
  4. Step 4: Simplify right side
    164,414.94x = 23,563,204,134.08
  5. Step 5: Solve for x
    x = 23,563,204,134.08/164,414.94
  6. Step 6: Final answer
    x = 143,315.47

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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.