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Finding the Fourth Proportional to 228,876, 343,300.15 and 102,482.29

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Solution

The fourth proportional to 228,876, 343,300.15 and 102,482.29 is: 153,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,876 : 343,300.15 = 102,482.29 : x
  2. Step 2: Convert to fraction form
    228,876/343,300.15 = 102,482.29/x
  3. Step 3: Cross multiply
    228,876x = 343,300.15 × 102,482.29
  4. Step 4: Simplify right side
    228,876x = 35,182,185,529.34
  5. Step 5: Solve for x
    x = 35,182,185,529.34/228,876
  6. Step 6: Final answer
    x = 153,717.23

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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.