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Finding the Fourth Proportional to 205,233.40, 307,590.90 and 99,825.40

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Solution

The fourth proportional to 205,233.40, 307,590.90 and 99,825.40 is: 149,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,233.40 : 307,590.90 = 99,825.40 : x
  2. Step 2: Convert to fraction form
    205,233.40/307,590.90 = 99,825.40/x
  3. Step 3: Cross multiply
    205,233.40x = 307,590.90 × 99,825.40
  4. Step 4: Simplify right side
    205,233.40x = 30,705,384,628.86
  5. Step 5: Solve for x
    x = 30,705,384,628.86/205,233.40
  6. Step 6: Final answer
    x = 149,612.03

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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.