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Finding the Fourth Proportional to 164,755.58, 227,362.80 and 89,304.08

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Solution

The fourth proportional to 164,755.58, 227,362.80 and 89,304.08 is: 123,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,755.58 : 227,362.80 = 89,304.08 : x
  2. Step 2: Convert to fraction form
    164,755.58/227,362.80 = 89,304.08/x
  3. Step 3: Cross multiply
    164,755.58x = 227,362.80 × 89,304.08
  4. Step 4: Simplify right side
    164,755.58x = 20,304,425,680.22
  5. Step 5: Solve for x
    x = 20,304,425,680.22/164,755.58
  6. Step 6: Final answer
    x = 123,239.68

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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.