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Finding the Fourth Proportional to 105,418.68, 145,477.26 and 57,671.16

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Solution

The fourth proportional to 105,418.68, 145,477.26 and 57,671.16 is: 79,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,418.68 : 145,477.26 = 57,671.16 : x
  2. Step 2: Convert to fraction form
    105,418.68/145,477.26 = 57,671.16/x
  3. Step 3: Cross multiply
    105,418.68x = 145,477.26 × 57,671.16
  4. Step 4: Simplify right side
    105,418.68x = 8,389,842,337.82
  5. Step 5: Solve for x
    x = 8,389,842,337.82/105,418.68
  6. Step 6: Final answer
    x = 79,585.92

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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.