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Finding the Fourth Proportional to 103,463.54, 142,783.45 and 58,142.42

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Solution

The fourth proportional to 103,463.54, 142,783.45 and 58,142.42 is: 80,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,463.54 : 142,783.45 = 58,142.42 : x
  2. Step 2: Convert to fraction form
    103,463.54/142,783.45 = 58,142.42/x
  3. Step 3: Cross multiply
    103,463.54x = 142,783.45 × 58,142.42
  4. Step 4: Simplify right side
    103,463.54x = 8,301,774,995.11
  5. Step 5: Solve for x
    x = 8,301,774,995.11/103,463.54
  6. Step 6: Final answer
    x = 80,238.65

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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.