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Finding the Fourth Proportional to 199,596.64, 275,444.40 and 110,172.64

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Solution

The fourth proportional to 199,596.64, 275,444.40 and 110,172.64 is: 152,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,596.64 : 275,444.40 = 110,172.64 : x
  2. Step 2: Convert to fraction form
    199,596.64/275,444.40 = 110,172.64/x
  3. Step 3: Cross multiply
    199,596.64x = 275,444.40 × 110,172.64
  4. Step 4: Simplify right side
    199,596.64x = 30,346,436,721.22
  5. Step 5: Solve for x
    x = 30,346,436,721.22/199,596.64
  6. Step 6: Final answer
    x = 152,038.82

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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.