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Finding the Fourth Proportional to 200,533.52, 300,785.50 and 74,114.80

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Solution

The fourth proportional to 200,533.52, 300,785.50 and 74,114.80 is: 111,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,533.52 : 300,785.50 = 74,114.80 : x
  2. Step 2: Convert to fraction form
    200,533.52/300,785.50 = 74,114.80/x
  3. Step 3: Cross multiply
    200,533.52x = 300,785.50 × 74,114.80
  4. Step 4: Simplify right side
    200,533.52x = 22,292,657,175.40
  5. Step 5: Solve for x
    x = 22,292,657,175.40/200,533.52
  6. Step 6: Final answer
    x = 111,166.74

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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.