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Finding the Fourth Proportional to 105,212.34, 145,193.01 and 57,465.80

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Solution

The fourth proportional to 105,212.34, 145,193.01 and 57,465.80 is: 79,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,212.34 : 145,193.01 = 57,465.80 : x
  2. Step 2: Convert to fraction form
    105,212.34/145,193.01 = 57,465.80/x
  3. Step 3: Cross multiply
    105,212.34x = 145,193.01 × 57,465.80
  4. Step 4: Simplify right side
    105,212.34x = 8,343,632,474.06
  5. Step 5: Solve for x
    x = 8,343,632,474.06/105,212.34
  6. Step 6: Final answer
    x = 79,302.79

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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.