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Finding the Fourth Proportional to 228,449.45, 342,988.64 and 116,205.63

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Solution

The fourth proportional to 228,449.45, 342,988.64 and 116,205.63 is: 174,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,449.45 : 342,988.64 = 116,205.63 : x
  2. Step 2: Convert to fraction form
    228,449.45/342,988.64 = 116,205.63/x
  3. Step 3: Cross multiply
    228,449.45x = 342,988.64 × 116,205.63
  4. Step 4: Simplify right side
    228,449.45x = 39,857,210,994.04
  5. Step 5: Solve for x
    x = 39,857,210,994.04/228,449.45
  6. Step 6: Final answer
    x = 174,468.40

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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.