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Finding the Fourth Proportional to 105,612.93, 145,741.01 and 57,865.23

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Solution

The fourth proportional to 105,612.93, 145,741.01 and 57,865.23 is: 79,851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,612.93 : 145,741.01 = 57,865.23 : x
  2. Step 2: Convert to fraction form
    105,612.93/145,741.01 = 57,865.23/x
  3. Step 3: Cross multiply
    105,612.93x = 145,741.01 × 57,865.23
  4. Step 4: Simplify right side
    105,612.93x = 8,433,336,774.76
  5. Step 5: Solve for x
    x = 8,433,336,774.76/105,612.93
  6. Step 6: Final answer
    x = 79,851.37

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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.