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Finding the Fourth Proportional to 105,117.84, 145,061.52 and 57,370.80

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Solution

The fourth proportional to 105,117.84, 145,061.52 and 57,370.80 is: 79,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,117.84 : 145,061.52 = 57,370.80 : x
  2. Step 2: Convert to fraction form
    105,117.84/145,061.52 = 57,370.80/x
  3. Step 3: Cross multiply
    105,117.84x = 145,061.52 × 57,370.80
  4. Step 4: Simplify right side
    105,117.84x = 8,322,295,451.62
  5. Step 5: Solve for x
    x = 8,322,295,451.62/105,117.84
  6. Step 6: Final answer
    x = 79,171.10

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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.