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Finding the Fourth Proportional to 357,107.52, 535,702.24 and 107,804.48

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Solution

The fourth proportional to 357,107.52, 535,702.24 and 107,804.48 is: 161,719.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,107.52 : 535,702.24 = 107,804.48 : x
  2. Step 2: Convert to fraction form
    357,107.52/535,702.24 = 107,804.48/x
  3. Step 3: Cross multiply
    357,107.52x = 535,702.24 × 107,804.48
  4. Step 4: Simplify right side
    357,107.52x = 57,751,101,418.04
  5. Step 5: Solve for x
    x = 57,751,101,418.04/357,107.52
  6. Step 6: Final answer
    x = 161,719.09

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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.