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Finding the Fourth Proportional to 105,251.31, 145,242.54 and 57,506.31

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Solution

The fourth proportional to 105,251.31, 145,242.54 and 57,506.31 is: 79,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,251.31 : 145,242.54 = 57,506.31 : x
  2. Step 2: Convert to fraction form
    105,251.31/145,242.54 = 57,506.31/x
  3. Step 3: Cross multiply
    105,251.31x = 145,242.54 × 57,506.31
  4. Step 4: Simplify right side
    105,251.31x = 8,352,362,530.43
  5. Step 5: Solve for x
    x = 8,352,362,530.43/105,251.31
  6. Step 6: Final answer
    x = 79,356.38

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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.