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Finding the Fourth Proportional to 105,114.54, 145,058.58 and 57,369

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Solution

The fourth proportional to 105,114.54, 145,058.58 and 57,369 is: 79,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,114.54 : 145,058.58 = 57,369 : x
  2. Step 2: Convert to fraction form
    105,114.54/145,058.58 = 57,369/x
  3. Step 3: Cross multiply
    105,114.54x = 145,058.58 × 57,369
  4. Step 4: Simplify right side
    105,114.54x = 8,321,865,676.02
  5. Step 5: Solve for x
    x = 8,321,865,676.02/105,114.54
  6. Step 6: Final answer
    x = 79,169.50

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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.