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Finding the Fourth Proportional to 217,492.80, 326,239.20 and 194,683.20

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Solution

The fourth proportional to 217,492.80, 326,239.20 and 194,683.20 is: 292,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,492.80 : 326,239.20 = 194,683.20 : x
  2. Step 2: Convert to fraction form
    217,492.80/326,239.20 = 194,683.20/x
  3. Step 3: Cross multiply
    217,492.80x = 326,239.20 × 194,683.20
  4. Step 4: Simplify right side
    217,492.80x = 63,513,291,421.44
  5. Step 5: Solve for x
    x = 63,513,291,421.44/217,492.80
  6. Step 6: Final answer
    x = 292,024.80

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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.