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Finding the Fourth Proportional to 210,572.90, 315,824.74 and 75,609.02

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Solution

The fourth proportional to 210,572.90, 315,824.74 and 75,609.02 is: 113,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,572.90 : 315,824.74 = 75,609.02 : x
  2. Step 2: Convert to fraction form
    210,572.90/315,824.74 = 75,609.02/x
  3. Step 3: Cross multiply
    210,572.90x = 315,824.74 × 75,609.02
  4. Step 4: Simplify right side
    210,572.90x = 23,879,199,083.15
  5. Step 5: Solve for x
    x = 23,879,199,083.15/210,572.90
  6. Step 6: Final answer
    x = 113,401.10

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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.