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Finding the Fourth Proportional to 145,535.37, 200,765.32 and 85,066.50

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Solution

The fourth proportional to 145,535.37, 200,765.32 and 85,066.50 is: 117,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,535.37 : 200,765.32 = 85,066.50 : x
  2. Step 2: Convert to fraction form
    145,535.37/200,765.32 = 85,066.50/x
  3. Step 3: Cross multiply
    145,535.37x = 200,765.32 × 85,066.50
  4. Step 4: Simplify right side
    145,535.37x = 17,078,403,633.98
  5. Step 5: Solve for x
    x = 17,078,403,633.98/145,535.37
  6. Step 6: Final answer
    x = 117,348.82

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