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Finding the Fourth Proportional to 169,418.07, 254,075.25 and 57,068.16

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Solution

The fourth proportional to 169,418.07, 254,075.25 and 57,068.16 is: 85,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,418.07 : 254,075.25 = 57,068.16 : x
  2. Step 2: Convert to fraction form
    169,418.07/254,075.25 = 57,068.16/x
  3. Step 3: Cross multiply
    169,418.07x = 254,075.25 × 57,068.16
  4. Step 4: Simplify right side
    169,418.07x = 14,499,607,019.04
  5. Step 5: Solve for x
    x = 14,499,607,019.04/169,418.07
  6. Step 6: Final answer
    x = 85,584.77

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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.