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Finding the Fourth Proportional to 103,297.80, 154,946.38 and 58,298.75

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Solution

The fourth proportional to 103,297.80, 154,946.38 and 58,298.75 is: 87,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,297.80 : 154,946.38 = 58,298.75 : x
  2. Step 2: Convert to fraction form
    103,297.80/154,946.38 = 58,298.75/x
  3. Step 3: Cross multiply
    103,297.80x = 154,946.38 × 58,298.75
  4. Step 4: Simplify right side
    103,297.80x = 9,033,180,271.03
  5. Step 5: Solve for x
    x = 9,033,180,271.03/103,297.80
  6. Step 6: Final answer
    x = 87,447.94

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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.