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Finding the Fourth Proportional to 228,769.98, 343,106.16 and 144,417.39

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Solution

The fourth proportional to 228,769.98, 343,106.16 and 144,417.39 is: 216,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,769.98 : 343,106.16 = 144,417.39 : x
  2. Step 2: Convert to fraction form
    228,769.98/343,106.16 = 144,417.39/x
  3. Step 3: Cross multiply
    228,769.98x = 343,106.16 × 144,417.39
  4. Step 4: Simplify right side
    228,769.98x = 49,550,496,120.12
  5. Step 5: Solve for x
    x = 49,550,496,120.12/228,769.98
  6. Step 6: Final answer
    x = 216,595.27

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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.