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Finding the Fourth Proportional to 200,006.40, 300,009.60 and 115,766.40

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Solution

The fourth proportional to 200,006.40, 300,009.60 and 115,766.40 is: 173,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,006.40 : 300,009.60 = 115,766.40 : x
  2. Step 2: Convert to fraction form
    200,006.40/300,009.60 = 115,766.40/x
  3. Step 3: Cross multiply
    200,006.40x = 300,009.60 × 115,766.40
  4. Step 4: Simplify right side
    200,006.40x = 34,731,031,357.44
  5. Step 5: Solve for x
    x = 34,731,031,357.44/200,006.40
  6. Step 6: Final answer
    x = 173,649.60

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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.