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Finding the Fourth Proportional to 199,572.50, 275,410.42 and 110,148.50

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Solution

The fourth proportional to 199,572.50, 275,410.42 and 110,148.50 is: 152,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,572.50 : 275,410.42 = 110,148.50 : x
  2. Step 2: Convert to fraction form
    199,572.50/275,410.42 = 110,148.50/x
  3. Step 3: Cross multiply
    199,572.50x = 275,410.42 × 110,148.50
  4. Step 4: Simplify right side
    199,572.50x = 30,336,044,647.37
  5. Step 5: Solve for x
    x = 30,336,044,647.37/199,572.50
  6. Step 6: Final answer
    x = 152,005.13

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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.