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Finding the Fourth Proportional to 105,138.48, 145,088.82 and 57,392.64

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Solution

The fourth proportional to 105,138.48, 145,088.82 and 57,392.64 is: 79,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,138.48 : 145,088.82 = 57,392.64 : x
  2. Step 2: Convert to fraction form
    105,138.48/145,088.82 = 57,392.64/x
  3. Step 3: Cross multiply
    105,138.48x = 145,088.82 × 57,392.64
  4. Step 4: Simplify right side
    105,138.48x = 8,327,030,414.28
  5. Step 5: Solve for x
    x = 8,327,030,414.28/105,138.48
  6. Step 6: Final answer
    x = 79,200.60

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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.