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Finding the Fourth Proportional to 175,710.84, 263,582.45 and 57,382.80

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Solution

The fourth proportional to 175,710.84, 263,582.45 and 57,382.80 is: 86,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,710.84 : 263,582.45 = 57,382.80 : x
  2. Step 2: Convert to fraction form
    175,710.84/263,582.45 = 57,382.80/x
  3. Step 3: Cross multiply
    175,710.84x = 263,582.45 × 57,382.80
  4. Step 4: Simplify right side
    175,710.84x = 15,125,099,011.86
  5. Step 5: Solve for x
    x = 15,125,099,011.86/175,710.84
  6. Step 6: Final answer
    x = 86,079.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.