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Finding the Fourth Proportional to 228,311.88, 314,993.70 and 132,740.52

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Solution

The fourth proportional to 228,311.88, 314,993.70 and 132,740.52 is: 183,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,311.88 : 314,993.70 = 132,740.52 : x
  2. Step 2: Convert to fraction form
    228,311.88/314,993.70 = 132,740.52/x
  3. Step 3: Cross multiply
    228,311.88x = 314,993.70 × 132,740.52
  4. Step 4: Simplify right side
    228,311.88x = 41,812,427,534.72
  5. Step 5: Solve for x
    x = 41,812,427,534.72/228,311.88
  6. Step 6: Final answer
    x = 183,137.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.