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Finding the Fourth Proportional to 105,582.33, 158,396.85 and 58,173.01

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Solution

The fourth proportional to 105,582.33, 158,396.85 and 58,173.01 is: 87,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,582.33 : 158,396.85 = 58,173.01 : x
  2. Step 2: Convert to fraction form
    105,582.33/158,396.85 = 58,173.01/x
  3. Step 3: Cross multiply
    105,582.33x = 158,396.85 × 58,173.01
  4. Step 4: Simplify right side
    105,582.33x = 9,214,421,143.03
  5. Step 5: Solve for x
    x = 9,214,421,143.03/105,582.33
  6. Step 6: Final answer
    x = 87,272.38

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Why These Related Problems?

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