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Finding the Fourth Proportional to 164,415.44, 226,667.34 and 103,955.82

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Solution

The fourth proportional to 164,415.44, 226,667.34 and 103,955.82 is: 143,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,415.44 : 226,667.34 = 103,955.82 : x
  2. Step 2: Convert to fraction form
    164,415.44/226,667.34 = 103,955.82/x
  3. Step 3: Cross multiply
    164,415.44x = 226,667.34 × 103,955.82
  4. Step 4: Simplify right side
    164,415.44x = 23,563,389,196.92
  5. Step 5: Solve for x
    x = 23,563,389,196.92/164,415.44
  6. Step 6: Final answer
    x = 143,316.16

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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.