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Finding the Fourth Proportional to 253,927.36, 380,792.32 and 135,534.08

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Solution

The fourth proportional to 253,927.36, 380,792.32 and 135,534.08 is: 203,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,927.36 : 380,792.32 = 135,534.08 : x
  2. Step 2: Convert to fraction form
    253,927.36/380,792.32 = 135,534.08/x
  3. Step 3: Cross multiply
    253,927.36x = 380,792.32 × 135,534.08
  4. Step 4: Simplify right side
    253,927.36x = 51,610,336,762.27
  5. Step 5: Solve for x
    x = 51,610,336,762.27/253,927.36
  6. Step 6: Final answer
    x = 203,248.43

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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.