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Finding the Fourth Proportional to 209,814.80, 314,722.20 and 97,494.80

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Solution

The fourth proportional to 209,814.80, 314,722.20 and 97,494.80 is: 146,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,814.80 : 314,722.20 = 97,494.80 : x
  2. Step 2: Convert to fraction form
    209,814.80/314,722.20 = 97,494.80/x
  3. Step 3: Cross multiply
    209,814.80x = 314,722.20 × 97,494.80
  4. Step 4: Simplify right side
    209,814.80x = 30,683,777,944.56
  5. Step 5: Solve for x
    x = 30,683,777,944.56/209,814.80
  6. Step 6: Final answer
    x = 146,242.20

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1.5x scale

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.