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Finding the Fourth Proportional to 145,533.91, 200,806.50 and 85,092.82

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Solution

The fourth proportional to 145,533.91, 200,806.50 and 85,092.82 is: 117,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,533.91 : 200,806.50 = 85,092.82 : x
  2. Step 2: Convert to fraction form
    145,533.91/200,806.50 = 85,092.82/x
  3. Step 3: Cross multiply
    145,533.91x = 200,806.50 × 85,092.82
  4. Step 4: Simplify right side
    145,533.91x = 17,087,191,359.33
  5. Step 5: Solve for x
    x = 17,087,191,359.33/145,533.91
  6. Step 6: Final answer
    x = 117,410.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.