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Finding the Fourth Proportional to 105,613.26, 145,746.27 and 57,868.42

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Solution

The fourth proportional to 105,613.26, 145,746.27 and 57,868.42 is: 79,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,613.26 : 145,746.27 = 57,868.42 : x
  2. Step 2: Convert to fraction form
    105,613.26/145,746.27 = 57,868.42/x
  3. Step 3: Cross multiply
    105,613.26x = 145,746.27 × 57,868.42
  4. Step 4: Simplify right side
    105,613.26x = 8,434,106,365.79
  5. Step 5: Solve for x
    x = 8,434,106,365.79/105,613.26
  6. Step 6: Final answer
    x = 79,858.40

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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.