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Finding the Fourth Proportional to 200,807.70, 301,202.43 and 88,457.86

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Solution

The fourth proportional to 200,807.70, 301,202.43 and 88,457.86 is: 132,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,807.70 : 301,202.43 = 88,457.86 : x
  2. Step 2: Convert to fraction form
    200,807.70/301,202.43 = 88,457.86/x
  3. Step 3: Cross multiply
    200,807.70x = 301,202.43 × 88,457.86
  4. Step 4: Simplify right side
    200,807.70x = 26,643,722,384.60
  5. Step 5: Solve for x
    x = 26,643,722,384.60/200,807.70
  6. Step 6: Final answer
    x = 132,682.77

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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.