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Finding the Fourth Proportional to 105,357.68, 158,041.40 and 58,575.32

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Solution

The fourth proportional to 105,357.68, 158,041.40 and 58,575.32 is: 87,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,357.68 : 158,041.40 = 58,575.32 : x
  2. Step 2: Convert to fraction form
    105,357.68/158,041.40 = 58,575.32/x
  3. Step 3: Cross multiply
    105,357.68x = 158,041.40 × 58,575.32
  4. Step 4: Simplify right side
    105,357.68x = 9,257,325,578.25
  5. Step 5: Solve for x
    x = 9,257,325,578.25/105,357.68
  6. Step 6: Final answer
    x = 87,865.69

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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.