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Finding the Fourth Proportional to 205,109.40, 307,404.90 and 99,701.40

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Solution

The fourth proportional to 205,109.40, 307,404.90 and 99,701.40 is: 149,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,109.40 : 307,404.90 = 99,701.40 : x
  2. Step 2: Convert to fraction form
    205,109.40/307,404.90 = 99,701.40/x
  3. Step 3: Cross multiply
    205,109.40x = 307,404.90 × 99,701.40
  4. Step 4: Simplify right side
    205,109.40x = 30,648,698,896.86
  5. Step 5: Solve for x
    x = 30,648,698,896.86/205,109.40
  6. Step 6: Final answer
    x = 149,426.11

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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.