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Finding the Fourth Proportional to 200,649.20, 300,973.80 and 178,876.40

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Solution

The fourth proportional to 200,649.20, 300,973.80 and 178,876.40 is: 268,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,649.20 : 300,973.80 = 178,876.40 : x
  2. Step 2: Convert to fraction form
    200,649.20/300,973.80 = 178,876.40/x
  3. Step 3: Cross multiply
    200,649.20x = 300,973.80 × 178,876.40
  4. Step 4: Simplify right side
    200,649.20x = 53,837,109,838.32
  5. Step 5: Solve for x
    x = 53,837,109,838.32/200,649.20
  6. Step 6: Final answer
    x = 268,314.60

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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.