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Finding the Fourth Proportional to 164,754.58, 227,361.42 and 89,303.08

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Solution

The fourth proportional to 164,754.58, 227,361.42 and 89,303.08 is: 123,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,754.58 : 227,361.42 = 89,303.08 : x
  2. Step 2: Convert to fraction form
    164,754.58/227,361.42 = 89,303.08/x
  3. Step 3: Cross multiply
    164,754.58x = 227,361.42 × 89,303.08
  4. Step 4: Simplify right side
    164,754.58x = 20,304,075,079.17
  5. Step 5: Solve for x
    x = 20,304,075,079.17/164,754.58
  6. Step 6: Final answer
    x = 123,238.30

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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.