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Finding the Fourth Proportional to 145,531.41, 200,803.05 and 85,090.32

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Solution

The fourth proportional to 145,531.41, 200,803.05 and 85,090.32 is: 117,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,531.41 : 200,803.05 = 85,090.32 : x
  2. Step 2: Convert to fraction form
    145,531.41/200,803.05 = 85,090.32/x
  3. Step 3: Cross multiply
    145,531.41x = 200,803.05 × 85,090.32
  4. Step 4: Simplify right side
    145,531.41x = 17,086,396,346.23
  5. Step 5: Solve for x
    x = 17,086,396,346.23/145,531.41
  6. Step 6: Final answer
    x = 117,406.93

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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.