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Finding the Fourth Proportional to 199,624.98, 275,482.53 and 110,200.98

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Solution

The fourth proportional to 199,624.98, 275,482.53 and 110,200.98 is: 152,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,624.98 : 275,482.53 = 110,200.98 : x
  2. Step 2: Convert to fraction form
    199,624.98/275,482.53 = 110,200.98/x
  3. Step 3: Cross multiply
    199,624.98x = 275,482.53 × 110,200.98
  4. Step 4: Simplify right side
    199,624.98x = 30,358,444,778.88
  5. Step 5: Solve for x
    x = 30,358,444,778.88/199,624.98
  6. Step 6: Final answer
    x = 152,077.38

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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.