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Finding the Fourth Proportional to 101,304.32, 151,938.56 and 27,438.08

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Solution

The fourth proportional to 101,304.32, 151,938.56 and 27,438.08 is: 41,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,304.32 : 151,938.56 = 27,438.08 : x
  2. Step 2: Convert to fraction form
    101,304.32/151,938.56 = 27,438.08/x
  3. Step 3: Cross multiply
    101,304.32x = 151,938.56 × 27,438.08
  4. Step 4: Simplify right side
    101,304.32x = 4,168,902,364.36
  5. Step 5: Solve for x
    x = 4,168,902,364.36/101,304.32
  6. Step 6: Final answer
    x = 41,152.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.