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Finding the Fourth Proportional to 169,907.61, 254,702.24 and 57,509.17

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Solution

The fourth proportional to 169,907.61, 254,702.24 and 57,509.17 is: 86,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,907.61 : 254,702.24 = 57,509.17 : x
  2. Step 2: Convert to fraction form
    169,907.61/254,702.24 = 57,509.17/x
  3. Step 3: Cross multiply
    169,907.61x = 254,702.24 × 57,509.17
  4. Step 4: Simplify right side
    169,907.61x = 14,647,714,563.31
  5. Step 5: Solve for x
    x = 14,647,714,563.31/169,907.61
  6. Step 6: Final answer
    x = 86,209.88

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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.