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Finding the Fourth Proportional to 105,162.84, 145,123.62 and 57,416.04

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Solution

The fourth proportional to 105,162.84, 145,123.62 and 57,416.04 is: 79,233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,162.84 : 145,123.62 = 57,416.04 : x
  2. Step 2: Convert to fraction form
    105,162.84/145,123.62 = 57,416.04/x
  3. Step 3: Cross multiply
    105,162.84x = 145,123.62 × 57,416.04
  4. Step 4: Simplify right side
    105,162.84x = 8,332,423,570.86
  5. Step 5: Solve for x
    x = 8,332,423,570.86/105,162.84
  6. Step 6: Final answer
    x = 79,233.54

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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.