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Finding the Fourth Proportional to 145,537.94, 200,768.84 and 85,069.08

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Solution

The fourth proportional to 145,537.94, 200,768.84 and 85,069.08 is: 117,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,537.94 : 200,768.84 = 85,069.08 : x
  2. Step 2: Convert to fraction form
    145,537.94/200,768.84 = 85,069.08/x
  3. Step 3: Cross multiply
    145,537.94x = 200,768.84 × 85,069.08
  4. Step 4: Simplify right side
    145,537.94x = 17,079,220,511.47
  5. Step 5: Solve for x
    x = 17,079,220,511.47/145,537.94
  6. Step 6: Final answer
    x = 117,352.36

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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.