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Finding the Fourth Proportional to 205,294.60, 307,941.90 and 194,408.20

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Solution

The fourth proportional to 205,294.60, 307,941.90 and 194,408.20 is: 291,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,294.60 : 307,941.90 = 194,408.20 : x
  2. Step 2: Convert to fraction form
    205,294.60/307,941.90 = 194,408.20/x
  3. Step 3: Cross multiply
    205,294.60x = 307,941.90 × 194,408.20
  4. Step 4: Simplify right side
    205,294.60x = 59,866,430,483.58
  5. Step 5: Solve for x
    x = 59,866,430,483.58/205,294.60
  6. Step 6: Final answer
    x = 291,612.30

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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.