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Finding the Fourth Proportional to 200,411.20, 300,033.60 and 177,083.20

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Solution

The fourth proportional to 200,411.20, 300,033.60 and 177,083.20 is: 265,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,411.20 : 300,033.60 = 177,083.20 : x
  2. Step 2: Convert to fraction form
    200,411.20/300,033.60 = 177,083.20/x
  3. Step 3: Cross multiply
    200,411.20x = 300,033.60 × 177,083.20
  4. Step 4: Simplify right side
    200,411.20x = 53,130,909,995.52
  5. Step 5: Solve for x
    x = 53,130,909,995.52/200,411.20
  6. Step 6: Final answer
    x = 265,109.48

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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.