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Finding the Fourth Proportional to 174,057.89, 240,181.79 and 102,433.64

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Solution

The fourth proportional to 174,057.89, 240,181.79 and 102,433.64 is: 141,347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,057.89 : 240,181.79 = 102,433.64 : x
  2. Step 2: Convert to fraction form
    174,057.89/240,181.79 = 102,433.64/x
  3. Step 3: Cross multiply
    174,057.89x = 240,181.79 × 102,433.64
  4. Step 4: Simplify right side
    174,057.89x = 24,602,693,298.34
  5. Step 5: Solve for x
    x = 24,602,693,298.34/174,057.89
  6. Step 6: Final answer
    x = 141,347.77

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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.