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Finding the Fourth Proportional to 164,954.82, 227,637.54 and 89,503.32

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Solution

The fourth proportional to 164,954.82, 227,637.54 and 89,503.32 is: 123,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,954.82 : 227,637.54 = 89,503.32 : x
  2. Step 2: Convert to fraction form
    164,954.82/227,637.54 = 89,503.32/x
  3. Step 3: Cross multiply
    164,954.82x = 227,637.54 × 89,503.32
  4. Step 4: Simplify right side
    164,954.82x = 20,374,314,839.70
  5. Step 5: Solve for x
    x = 20,374,314,839.70/164,954.82
  6. Step 6: Final answer
    x = 123,514.52

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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.