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Finding the Fourth Proportional to 230,880.84, 346,331.16 and 90,669.84

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Solution

The fourth proportional to 230,880.84, 346,331.16 and 90,669.84 is: 136,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,880.84 : 346,331.16 = 90,669.84 : x
  2. Step 2: Convert to fraction form
    230,880.84/346,331.16 = 90,669.84/x
  3. Step 3: Cross multiply
    230,880.84x = 346,331.16 × 90,669.84
  4. Step 4: Simplify right side
    230,880.84x = 31,401,790,864.21
  5. Step 5: Solve for x
    x = 31,401,790,864.21/230,880.84
  6. Step 6: Final answer
    x = 136,008.65

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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.