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Finding the Fourth Proportional to 145,090.57, 200,244.54 and 81,431.86

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Solution

The fourth proportional to 145,090.57, 200,244.54 and 81,431.86 is: 112,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,090.57 : 200,244.54 = 81,431.86 : x
  2. Step 2: Convert to fraction form
    145,090.57/200,244.54 = 81,431.86/x
  3. Step 3: Cross multiply
    145,090.57x = 200,244.54 × 81,431.86
  4. Step 4: Simplify right side
    145,090.57x = 16,306,285,347.04
  5. Step 5: Solve for x
    x = 16,306,285,347.04/145,090.57
  6. Step 6: Final answer
    x = 112,386.94

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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.