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Finding the Fourth Proportional to 200,885.04, 301,210.92 and 76,158

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Solution

The fourth proportional to 200,885.04, 301,210.92 and 76,158 is: 114,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,885.04 : 301,210.92 = 76,158 : x
  2. Step 2: Convert to fraction form
    200,885.04/301,210.92 = 76,158/x
  3. Step 3: Cross multiply
    200,885.04x = 301,210.92 × 76,158
  4. Step 4: Simplify right side
    200,885.04x = 22,939,621,245.36
  5. Step 5: Solve for x
    x = 22,939,621,245.36/200,885.04
  6. Step 6: Final answer
    x = 114,192.78

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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.