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Finding the Fourth Proportional to 105,166.40, 145,135.53 and 57,424.19

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Solution

The fourth proportional to 105,166.40, 145,135.53 and 57,424.19 is: 79,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,166.40 : 145,135.53 = 57,424.19 : x
  2. Step 2: Convert to fraction form
    105,166.40/145,135.53 = 57,424.19/x
  3. Step 3: Cross multiply
    105,166.40x = 145,135.53 × 57,424.19
  4. Step 4: Simplify right side
    105,166.40x = 8,334,289,524.79
  5. Step 5: Solve for x
    x = 8,334,289,524.79/105,166.40
  6. Step 6: Final answer
    x = 79,248.60

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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.