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Finding the Fourth Proportional to 286,077.84, 429,057.96 and 117,433.68

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Solution

The fourth proportional to 286,077.84, 429,057.96 and 117,433.68 is: 176,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,077.84 : 429,057.96 = 117,433.68 : x
  2. Step 2: Convert to fraction form
    286,077.84/429,057.96 = 117,433.68/x
  3. Step 3: Cross multiply
    286,077.84x = 429,057.96 × 117,433.68
  4. Step 4: Simplify right side
    286,077.84x = 50,385,855,176.09
  5. Step 5: Solve for x
    x = 50,385,855,176.09/286,077.84
  6. Step 6: Final answer
    x = 176,126.38

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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.