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Finding the Fourth Proportional to 233,284, 349,977.84 and 85,540

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Solution

The fourth proportional to 233,284, 349,977.84 and 85,540 is: 128,329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,284 : 349,977.84 = 85,540 : x
  2. Step 2: Convert to fraction form
    233,284/349,977.84 = 85,540/x
  3. Step 3: Cross multiply
    233,284x = 349,977.84 × 85,540
  4. Step 4: Simplify right side
    233,284x = 29,937,104,433.60
  5. Step 5: Solve for x
    x = 29,937,104,433.60/233,284
  6. Step 6: Final answer
    x = 128,329.01

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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.